<h2>Teaching Volume of Triangular Prism Easily&nbsp;</h2>&nbsp;<ul><li>Firstly, determine the base area of the triangular prism using a suitable formula.&nbsp;</li></ul> &nbsp;<ul><li>Then, determine the length or height of the prism.&nbsp;</li></ul> &nbsp;<ul><li>Lastly, multiply the length of the prism with the base area to get an appropriate result.&nbsp;</li></ul> &nbsp;Here is an example to solve a problem on volume of a triangular prism. Let’s look at the given example mentioned below to understand more about the volume of triangular prisms. &nbsp;<figure class="table" style="float:left;width:451.27559055118115pt;"><table><tbody><tr><td style="border:1pt solid #000000;padding:5pt;vertical-align:top;">Volume of a Triangular Prism = Base Area *&nbsp; Length of the Prism&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Where, base area = b&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Length of the prism = l &nbsp;</td></tr></tbody></table></figure> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Q. Determine the volume of a triangular prism whose base is 5 inches and length is 3 inches.&nbsp; &nbsp;Step 1:&nbsp;Determine the base area.&nbsp;So,&nbsp;Base Area = ½ * b * h&nbsp;½ * 5 * 3 = 7.5 inches square units.&nbsp;Step 2:&nbsp;Determine the length of the prism&nbsp; &nbsp;Length of the prism = 3 inches.&nbsp; &nbsp;Step 3:&nbsp;Multiply the length of the prism with the base area.&nbsp; &nbsp;7.5 * 3 = 22.5 inches cubic units.&nbsp; &nbsp;<h2>Why should you use a volume of triangular prism worksheets for your students?&nbsp;</h2>&nbsp;<ul><li>Using these worksheets will help you to visualize various concepts such as congruent triangles and so on.&nbsp; &nbsp;</li><li>The volume of a triangular prism worksheet will help your student to know about the relation between the <a href="https://www.bytelearn.com/math-topics/surface-area" target="_blank" class="backlink">surface area</a> of a solid and volume.&nbsp;</li></ul><h2>Download Equations with Volume of a Triangular Prism Worksheets PDF</h2>&nbsp;You can download and print these super fun equations with the volume of a triangular prism worksheet pdf form here for your students. You can also try our <a href="https://www.bytelearn.com/math-grade-7/practice-problems/find-volume-of-triangular-prism">Volume Of Triangular Prism Problems</a> and <a href="https://www.bytelearn.com/math-grade-7/quiz/finding-volume-of-triangular-prism">Volume Of Triangular Prism Quiz</a> as well for a better understanding of the concepts.

Find volume of triangular prism

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A triangular prism is a type of prism which is made up of three rectangular sides and two triangular bases. They are identical and lateral faces. It is a three-dimensional figure. The <a href="https://www.bytelearn.com/math-topics/triangular-prism" target="_blank" class="backlink">volume of a triangular prism</a> is the total space occupied by it from all three dimensions. The volume of a triangular prism can be calculated by multiplying the length of the prism and area of the base triangle.&nbsp;&nbsp;

<h2>Important points of the Surface Area And Volume</h2>&nbsp;<ul><li>There are two types of 3D shapes, one with only flat surfaces and other one with curved surfaces.&nbsp;</li><li>Surface area of shapes with curved surface is sum of its curved surface area and flat surface area.&nbsp;</li><li>The curved surface area is also known as lateral surface area (LSA).&nbsp;</li><li>The sum of curved surface area and flat surface area is called total surface area (TSA).&nbsp;</li></ul> &nbsp;<ul><li>For example, TSA of a cylinder =&nbsp;2 π r(r+h) and LSA = 2πrh.</li><li>&nbsp;Volume of Cylinder = π r2 h.&nbsp;Where r is the radius of its circular base and h is its height.&nbsp;</li></ul> &nbsp;<h2>Surface Area and Volume examples</h2>&nbsp;<ol><li>Find the Surface area of a cubical box having dimensions&nbsp;4 cm, 2 cm and 5 cm.&nbsp;</li></ol>Let length = 4, breadth = 2, and height = 5.Surface Area of Cuboid = 2(lb + bh + hl) = 2(4*2 + 2*5 + 5*4) = 2(8+10+20) = 2(38) = 76 sq. cm.&nbsp; &nbsp;<ol><li>Calculate the volume of a cylindrical pipe with base radii 2 m and height 10 m.</li></ol>Radius of base = 2 mHeight of cylinder = 10 mLet π = 3.14Volume of Cylinder = πr2h = 3.14 * (2)2 * 10 = 3.14 * 4 * 10 = 125.6 cu. Meter.&nbsp; &nbsp;Teachers are looking for lessons, activities, worksheets, quiz, mock test papers that are suitable for 7th grade math.Here's your compilation of lessons suitable for 7th grade to share with your students. &nbsp;<figure class="table" style="float:left;width:451.27559055118115pt;"><table><tbody><tr><td style="border:1pt solid #000000;padding:5pt;vertical-align:top;">Surface Area &amp; Volume Worksheets &nbsp;</td></tr><tr><td style="border:1pt solid #000000;padding:5pt;vertical-align:top;">Surface Area &amp; Volume Practice Problems &nbsp;</td></tr><tr><td style="border:1pt solid #000000;padding:5pt;vertical-align:top;">Surface Area &amp; Volume Quiz &nbsp;</td></tr><tr><td style="border:1pt solid #000000;padding:5pt;vertical-align:top;">Surface Area &amp; Volume Unit Test &nbsp;</td></tr></tbody></table></figure> &nbsp;<h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>&nbsp;</h2><h2>Sum up&nbsp;</h2>&nbsp;Measuring volume and surface area grade 7 is an important concept of geometry. They are basic mathematical concepts that students must understand in detail.&nbsp; &nbsp;

<h2 style="text-align:justify;">7th Grade Math Course Summary</h2>&nbsp;In 7th grade math, you will learn a range of new skills that will help you hone your math skills and prepare students for high school math. Here is the course summary;&nbsp;&nbsp;<h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/expression-and-equations">Expressions, Equations, and Inequalities</a>&nbsp;</h2><h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/percents">Percents</a></h2><h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/circles">Circles</a> &nbsp;</h2><h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/probability">Probability</a>&nbsp;</h2><h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/ratio-and-proportions">Rates and Proportional Relationships</a></h2><h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/statistics">Statistics</a> &nbsp;</h2><h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/signed-numbers">Signed Number Operations</a></h2><h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/surface-area-and-volume">Surface Area and Volume</a></h2><h2 style="text-align:justify;"><a href="https://www.bytelearn.com/math-grade-7/angle-relationship">Angle Relationships</a></h2>&nbsp;As you can see, there is a lot to learn in 7th grade math! But don't worry; by the end of the year, you will be an expert on all these concepts. So get ready to dive in and learn some math. If you are looking for extra help, ByteLearn offers a great deal of resources that help children to succeed in math. Be sure to check out our Maths worksheet for grade 7. With a little extra effort, you can succeed in Math! &nbsp;

grade 7

7th-grade math is important because it lays the foundation for more advanced math concepts in high school. Students learn about proportional relationships and how to solve complex problems. This allows them to apply the skills they learned in sixth grade and opens up a world of possibilities. They will also extend and apply many of the concepts learned in sixth grade.&nbsp; &nbsp;Additionally, they will build off their sixth-grade understanding of integers to apply the properties of operations to all rational numbers. All these skills are essential to succeed in math in high school and beyond. In 7th grade math students develop problem-solving skills and critical thinking skills.&nbsp;So, if you're looking to brush up on your math skills or want to get ahead of the game, 7th grade math is the place to start! &nbsp;

Surface Area and Volume

In geometry, surface area and volume are the quantitative measures of various 3D shapes or objects. Surface area of any 3D shape represents the area it occupies. Whereas the volume is the measure of the capacity of any 3D object or space occupied by it.&nbsp;The surface area and volume formulas are used to measure any shape’s surface area in square units and the volume in cubic units.&nbsp;

Teachers can share these practice problems within the classroom to improve students' understanding.

Surface Area & Volume

In geometry, surface area and volume are the quantitative measures of various 3D shapes or objects. Surface area of any 3D shape represents the area it occupies. Whereas the volume is the measure of the capacity of any 3D object or space occupied by it. Solving surface area and volume practice problems helps students in understanding measurement of various 3D shapes. &nbsp;

The teacher can also share this surface area and volume quiz in the classroom to evaluate students' learning.&nbsp;

The surface area of an all-dimensional shape is the area covered by the surface of the object including the sides and the base. Volume is the space occupied by all the dimensions of the object and measured in cubic units. A Surface Area and Volume quiz helps students to assess their knowledge of various 3D shapes and formulas to calculate their surface areas and volumes. &nbsp;

Download free printable {page_tilte} worksheets in PDF to practice the questions as per common core standards for 7th grade math from ByteLearn.com

Grade 7 Maths Worksheets for the Surface area and volume for Practice and getting good score in the examination &nbsp;

What is the volume of the prism below?<TriangularPrism3D data-props='{ "triangle_base": 3, "triangle_left_side": 4, "triangle_right_side": 5, "prism_height": 4, "prism_length": 2, "triangle_type": "right_triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#F8F8F8" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#D6D6D6" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": "8 cm", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "6 cm", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": "", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": "", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": " 4 cm", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": "5yd", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "8 cm", "color": "red" }, "unit": "cm", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

Math

What is the volume of the prism below?<TriangularPrism3D data-props='{ "triangle_base": 27, "triangle_left_side": 23, "triangle_right_side": 25, "prism_height": 20, "prism_length": 30, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "27 cm", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "20 cm", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": 20, "color": "black" }, "unit": "cm", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

What is the volume of the prism below?<TriangularPrism3D data-props='{ "triangle_base": 28, "triangle_left_side": 25, "triangle_right_side": 18, "prism_height": 16, "prism_length": 30, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "28 in", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "28 in", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "16 in", "color": "black" }, "unit": "in", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

What is the volume of the prism below?<TriangularPrism3D data-props='{ "triangle_base": 6.4, "triangle_left_side": 6.4, "triangle_right_side": 6.4, "prism_height": 5.5, "prism_length": 10, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "6 m", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "10 m", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "5.2 m", "color": "black" }, "unit": "m", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

What is the volume of the prism below?<TriangularPrism3D data-props='{ "triangle_base": 3, "triangle_left_side": 5, "triangle_right_side": 5, "prism_height": 4, "prism_length": 9, "triangle_type": "right_triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": "4 m", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "3 m", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "9 m", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "4 m", "color": "black" }, "unit": "m", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

What is the volume of the prism below?<TriangularPrism3D data-props='{ "triangle_base": 15, "triangle_left_side": 16, "triangle_right_side": 12, "prism_height": 11, "prism_length": 18, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "15 m", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "18 m", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "11 m", "color": "black" }, "unit": "m", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

What is the volume of the prism below?<TriangularPrism3D data-props='{ "triangle_base": 12, "triangle_left_side": 9.4, "triangle_right_side": 9.4, "prism_height": 7.2, "prism_length": 15, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "12 in", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "15 in", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "7.5 in", "color": "black" }, "unit": "in", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

Identify the Volume of Triangular Prism Worksheet

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