<h2>Teaching Area of Shaded Region Easily</h2>&nbsp;<ul><li>Firstly, find the area of figures. Suppose, the figure is a rectangle whereby, you need to find the area of a shaded region. So, find the area of the smaller rectangle and then the total area.&nbsp;</li></ul> &nbsp;<ul><li>Secondly, subtract the areas accordingly to get an appropriate result.&nbsp;</li></ul> &nbsp;<ul><li>To determine the area of a shaded region, it totally depends on the figure or shape.&nbsp;</li></ul> &nbsp;Here is an example to solve a question to find the area of a shaded region. Let’s look at the given example mentioned below to understand more about the concept. &nbsp;&nbsp;Q. <img src="https://lh4.googleusercontent.com/QqVAMuq6ncgk-pGaHARnlwnoclXSEREJ4HkV-sRXjewVFjNL1pMzf4cBYqF_fqx0h8Swjjf7z3_WhpgVPz6tgF_HNIodnKCTtb29u1XOnRrojehig8pZRLBp-7uwuPtPAlQb5RU8pyuSBKMgXwlgbOY">Find the area of the shaded region.&nbsp; &nbsp;Step 1:&nbsp;Firstly, find the area of the inner square.&nbsp;So, 2 * 2 = 4 cm square units.&nbsp; &nbsp;Step 2:&nbsp;Secondly, find the area of the outer shape.&nbsp;So, 2 * 3 + 10 * 3 = 6 + 30&nbsp;6 + 30 = 36 cm square units.&nbsp; &nbsp;Step 3:&nbsp;Lastly, subtract the area of the inner and outer region.&nbsp; &nbsp;36 - 4 = 32 cm square units.&nbsp; &nbsp;<h2>Why Should you use an Area of a Shaded Region Worksheet for your students?</h2>&nbsp;These worksheets will help your students to be well versed in finding areas of shaded regions for different shapes.&nbsp; &nbsp;<ul><li>The area of a shaded region worksheet will help your students to find the area of different shapes like circles, squares, and rectangles easily.&nbsp;</li></ul><h2>Download Equations with Area of a Shaded Region Worksheets PDF</h2>&nbsp;You can download and print these super fun equations with an area of a shaded region worksheet pdf form here for your students. You can also try our <a href="https://www.bytelearn.com/math-grade-7/practice-problems/find-area-of-shaded-region">Area Of Shaded Region Problems</a> and <a href="https://www.bytelearn.com/math-grade-7/quiz/finding-area-of-shaded-region">Area Of Shaded Region Quiz</a> as well for a better understanding of the concepts.

Find area of shaded region

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The area of a shaded region is the unknown area of the shape. This can be any shape such as, square, rectangle, circle and so on. Sometimes, you need to find the <a href="https://www.bytelearn.com/math-topics/area-of-a-circle" target="_blank" class="backlink">area of a circle</a> within a rectangle. However, it is very easy to find the area of a shaded region.&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;

The diagram below shows a rectangle inside of a triangle. <CompositeShapeInShape data-props='{"inner": { "type": "rectangle", "shape": { "height": { "value": 60, "label": { "text": "2 yd" }, "side": "right", "color": "black", "highlight": true }, "width": { "value": 90, "label": { "text": "3 yd" }, "color": "#000", "side": "bottom", "highlight": true }, "color": "#FFFFFF", "border_color": "#000" }, "offset_x": -10, "offset_y": 40 }, "outer": { "type": "triangle", "shape": { "type": "right", "base": { "value": 240, "label": { "text": "8 yd" } }, "height": { "value": 330, "label": { "text": "11 yd", "background": "" }, "color": "black" }, "show_right_angle": true, "color": "#D8D8DF", "border_color": "#080808" }} }'></CompositeShapeInShape >What is the area of the shaded region?

Math

The diagram below shows a rectangle inside of a rectangle. <CompositeShapeInShape data-props='{ "outer": { "type": "rectangle", "shape": { "height": { "value": 300, "label": { "text": "12 in" }, "side": "left", "color": "black", "highlight": true }, "width": { "value": 350, "label": { "text": "14 in" }, "color": "#000", "side": "bottom", "highlight": true }, "color": "#D8D8DF", "border_color": "#000" }, "offset_y": 18 }, "inner": { "type": "rectangle", "shape": { "height": { "value": 200, "label": { "text": "8 in" }, "side": "right", "color": "black", "highlight": true }, "width": { "value": 250, "label": { "text": "10 in" }, "color": "#000", "side": "above", "highlight": true }, "color": "#FFFFFF", "border_color": "#000" } } }'></CompositeShapeInShape > What is the area of the shaded region?

The diagram below shows a triangle inside of a circle. <CompositeShapeInShape data-props='{ "inner": { "type": "triangle", "shape": { "type": "right_angle", "base": { "value": 90, "label": { "text": "9 mm" } }, "height": { "value": 120, "label": { "text": "12 mm" } }, "show_right_angle": true, "color": "#FFFFFF", "border_color": "#080808" }, "offset_y": -10, "offset_x": 10 }, "outer": { "type": "circle", "shape": { "radius": { "value": 100, "label": { "text": "10 mm", "show": true }, "color": "#080808", "angle": 0 }, "show_center": true, "color": "#D8D8DF", "border_color": "#080808" } }}'></CompositeShapeInShape >What is the area of the shaded region?<highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight>

The diagram below shows a circle inside of a triangle. <CompositeShapeInShape data-props='{ "inner": { "type": "circle", "shape": { "radius": { "value": 45, "label": { "text": "3 cm", "background": "none", "show": true }, "color": "#080808", "angle": 30 }, "show_center": true, "color": "#FFFFFF", "border_color": "black" }, "offset_x":-5 }, "outer": { "type": "triangle", "shape": { "type": "right", "base": { "value": 180, "label": { "text": "12 cm" }, "color": "black" }, "height": { "value": 210, "label": { "text": "14 cm" }, "color": "black" }, "show_right_angle": true, "color": "#D8D8DF", "border_color": "#000" } }}'></CompositeShapeInShape >What is the area of the shaded region? <highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight>

The diagram below shows a circle inside of a rectangle. <CompositeShapeInShape data-props='{ "inner": { "type": "circle", "shape": { "radius": { "value": 60, "label": { "text": "6 cm", "background": "none", "show": true }, "color": "#000", "angle": 0 }, "show_center": true, "color": "white", "border_color": "#000" } }, "outer": { "type": "rectangle", "shape": { "height": { "value": 150, "label": { "text": "15 cm" }, "side": "right", "color": "black" }, "width": { "value": 180, "label": { "text": "18 cm" }, "color": "#000", "side": "bottom" }, "color": "#D8D8DF", "border_color": "#000" } }}'></CompositeShapeInShape >What is the area of the shaded region?<highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑 </highlight>

The diagram below shows a circle inside of a circle. <CompositeShapeInShape data-props='{ "inner": { "type": "circle", "shape": { "radius": { "value": 70, "label": { "text": "7 ft", "background": "none", "show": true }, "color": "black", "angle": 90 }, "show_center": true, "color": "#FFFFFF", "border_color": "#080808" } }, "outer": { "type": "circle", "shape": { "radius": { "value": 100, "label": { "text": "10 ft", "show": true }, "color": "#080808", "angle": 0 }, "show_center": true, "color": "#D8D8DF", "border_color": "#080808" } }}'></CompositeShapeInShape >What is the area of the shaded region?<highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight>

The diagram below shows a rectangle inside of a circle. <CompositeShapeInShape data-props='{ "inner": { "type": "rectangle", "shape": { "height": { "value": 80, "label": { "text": "8 mm" }, "side": "right", "color": "black", "highlight": false }, "width": { "value": 30, "label": { "text": "3 mm" }, "color": "#00", "side": "bottom", "highlight": true }, "color": "#FFFFFF", "border_color": "#000" }, "offset_y": -5, "offset_x": -5 }, "outer": { "type": "circle", "shape": { "radius": { "value": 90, "label": { "text": "9 mm", "show": true }, "color": "#080808", "angle": 180 }, "show_center": true, "color": "#D8D8DF", "border_color": "#080808" } }}'></CompositeShapeInShape >What is the area of the shaded region? <highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight>

The diagram below shows a triangle inside of a rectangle. <CompositeShapeInShape data-props='{ "inner": { "type": "triangle", "shape": { "type": "isosceles", "base": { "value": 130, "label": { "text": "13 cm" } }, "height": { "value": 100, "label": { "text": "10 cm", "background": "none" }, "color": "black" }, "show_right_angle": true, "color": "#FFFFFF", "border_color": "black" }, "offset_y": 10, "offset_x": 20 }, "outer": { "type": "rectangle", "shape": { "height": { "value": 190, "label": { "text": "19 cm" }, "side": "right", "color": "black", "highlight": false }, "width": { "value": 270, "label": { "text": "27 cm" }, "color": "#00 ", "side": "bottom", "highlight": false }, "color": "#D8D8DF", "border_color": "#000" } }}'></CompositeShapeInShape >What is the area of the shaded region?

Solve for Area of Shaded Region Worksheet

Teaching Area of Shaded Region Easily

Why Should you use an Area of a Shaded Region Worksheet for your students?

Download Equations with Area of a Shaded Region Worksheets PDF

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