Solve For Missing Dimension Given Volume (Word Problems) Quiz

<p>Alan makes a fort out of a refrigerator box. The fort has a volume of `49.5` `text{ft}^3`. The box is `5.5` `text{ft}` tall and `3` `text{ft}` long. </p><p>What is the width `(w)` of the box?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p></p><RectangularPrism3D data-props='{ "rectangle_base": 3, "prism_height": 5.5, "prism_length": 3, "height_oriantation_right": true, "rotate_y_axis": -0.2, "rotate_x_axis": 0.02, "interactive": false, "faces": [ { "id": 1, "position": "front", "color": "orange", "opacity": 0 }, { "id": 2, "position": "back", "opacity": 0, "color": "orange" }, { "id": 3, "position": "left", "opacity": 0, "color": "blue" }, { "id": 4, "position": "right", "opacity": 0, "color": "blue" }, { "id": 6, "position": "top", "opacity": 0, "color": "blue" }, { "id": 5, "position": "bottom", "color": "blue", "opacity": 0 } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": " " }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "3 ft" }, { "id": 4, "face": "front", "position": "top", "color": "#080808", "label": " " }, { "id": 5, "face": "back", "position": "left", "color": "#080808", "label": " " }, { "id": 6, "face": "back", "position": "right", "color": "#080808", "label": "5.5 ft" }, { "id": 7, "face": "back", "position": "bottom", "color": "#080808", "label": " " }, { "id": 8, "face": "back", "position": "top", "color": "#080808", "label": " " }, { "id": 9, "face": "right", "position": "top", "color": "#080808", "label": " " }, { "id": 10, "face": "right", "position": "bottom", "color": "#080808", "label": "w" }, { "id": 11, "face": "left", "position": "bottom", "color": "black", "label": " " }, { "id": 12, "face": "left", "position": "top", "color": "black", "label": " " } ], "unit": "in", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false, "height_offset_y": 1, "zoom": 3}'></RectangularPrism3D>

<p>Kurt has a new storage bench where he keeps all of his video game equipment. The bench has a volume of `135text(,)000` `text{cm}^3`. The bench is `90` `text{cm}` long and `30` `text{cm}` wide. </p><p>What is the height `(h)` of the bench?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p> </p><RectangularPrism3D data-props='{ "rectangle_base": 90, "prism_height": 50, "prism_length": 30, "height_oriantation_right": true, "rotate_y_axis": 0, "rotate_x_axis": 0.02, "interactive": false, "faces": [ { "id": 1, "position": "front", "color": "orange", "opacity": 0 }, { "id": 2, "position": "back", "opacity": 0, "color": "orange" }, { "id": 3, "position": "left", "opacity": 0, "color": "blue" }, { "id": 4, "position": "right", "opacity": 0, "color": "blue" }, { "id": 6, "position": "top", "opacity": 0, "color": "blue" }, { "id": 5, "position": "bottom", "color": "blue", "opacity": 0 } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": " " }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "90 cm" }, { "id": 4, "face": "front", "position": "top", "color": "#080808", "label": " " }, { "id": 5, "face": "back", "position": "left", "color": "#080808", "label": " " }, { "id": 6, "face": "back", "position": "right", "color": "#080808", "label": "h" }, { "id": 7, "face": "back", "position": "bottom", "color": "#080808", "label": " " }, { "id": 8, "face": "back", "position": "top", "color": "#080808", "label": " " }, { "id": 9, "face": "right", "position": "top", "color": "#080808", "label": " " }, { "id": 10, "face": "right", "position": "bottom", "color": "#080808", "label": "30 cm" }, { "id": 11, "face": "left", "position": "bottom", "color": "black", "label": " " }, { "id": 12, "face": "left", "position": "top", "color": "black", "label": " " } ], "unit": "in", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false, "zoom": 6, "length_offset_y": 0.7, "length_offset_x": 0.1}'></RectangularPrism3D>

<p>Michael has leftover soup that he is pouring into a storage container. The storage container can hold `77` `text{in}^3` of soup. He is pouring the soup into the container with a width of `5.5` `text{in}` and a length of `7` `text{in}`. </p><p>What is the height (`h` `text(in)`) of the container?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p></p>

<p>A new decorative fountain has been installed in front of a city library. The volume of the rectangular fountain is`1.5` `text{yd}^3`. The fountain is `1.5` `text{yd}` wide and `2` `text{yd}` long. </p><p>What is the height of the fountain?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p></p>

<p>Lola buys a small shed to store her gardening tools. The shed is `5.5` `text{ft}` tall and `1.5` `text{ft}` wide. It has a volume of `24.75` `text{ft}^3`. </p><p>What is the length of the shed?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p></p>

<p>Luigi's pizza has boxes that are `1 1/2` `text{ft}` on each side. Each box has a volume of `9/16` `text{ft}^3`. </p><p>What is the height of each box?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p></p>

<p>Helena keeps her jewelry-making beads in a small box. The box has a volume of `94 1/2` `text{in}^3`. The box is `10 1/2` `text{in}` long and `6` `text{in}` wide. </p><p>What is the height (`h` `text(in)`) of the box?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p> </p>