Solve For Missing Dimension Given Volume (Word Problems) Problems

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#1 of 7: Mild

Solve for missing dimension given volume (word problems)

<p>Dorothy's Donuts has boxes for customers who buy at least `12` donuts. Each box has a volume of `520` `text{in}^3`. The box is `10` `text{in}` wide and `4` `text{in}` tall. </p><p>What is the length `(L)` 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": 13, "prism_height": 4, "prism_length": 10, "height_oriantation_right": true, "rotate_y_axis": 0.1, "rotate_x_axis": 0, "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": "L" }, { "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": "4 in" }, { "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": "10 in" }, { "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, "length_offset_y": 0, "height_offset_y": 0.3, "zoom": 2}'></RectangularPrism3D>

#2 of 7: Medium

Solve for missing dimension given volume (word problems)

<p>Theo is looking for a case to store his moviemaking equipment. One case he likes has a volume of `1text{,}827` `text{in}^3`. The length of the case is `18` `text{in}` and it has a height of `7` `text{in}`. </p><p>What is the width of the case?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p> </p>

#3 of 7: Medium

Solve for missing dimension given volume (word problems)

<p>Sam is filling a small rectangular pool with water for his little sister to wade in. The volume of the pool is `7` `text{ft}^3`. The pool has a length of `4` `text{ft}` and a width of `3.5` `text{ft}`. </p><p>What is the height of the pool?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p></p>

#4 of 7: Medium

Solve for missing dimension given volume (word problems)

<p>After watching a spy movie, Annabelle figured out how to create a special secret compartment in the heel of one of her shoes. The compartment has a volume of `18` `text{cm}^3`. It is `4` `text{cm}` long and `3` `text{cm}` wide. </p><p>What is the height of the compartment?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p></p>

#5 of 7: Spicy

Solve for missing dimension given volume (word problems)

<p>Joey used a long box to make a tunnel for his little brother's toy cars. The volume of the box is `1.8` `text{m}^3`. The width of the box is `0.12` `text{m}` and the height is `0.15` `text{m}`. </p><p>What is the length 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/>

#6 of 7: Spicy

Solve for missing dimension given volume (word problems)

<p>Oliver buys a new aquarium for his pet octopus. The aquarium holds `5 5/8` `text{ft}^3` of water. The length is `3` `text{ft}` and the width is `1 1/4` `text{ft}`. </p><p>What is the height of the aquarium?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p> </p>

#7 of 7: Spicy

Solve for missing dimension given volume (word problems)

<p>Amarra is playing with her sandcastle toys at the beach. She has a rectangular plastic box that is `3 1/2` `text{in}` long and `1 1/2` `text{in}` wide. The box can hold `13 1/8` `text{in}^3` of sand. </p><p>What is the height of the plastic box?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</highlight></p></p>

Solving for missing dimensions given a volume for real-life problems can be a little tricky for 6th graders. This skill can be improved by practicing, “missing dimension given volume practice problems” which require students to use their understanding of geometric shapes and their properties to solve for the missing dimension. 

 

By using the formula for the volume of a rectangular prism (V = lwh), students can set up an equation and solve for the missing dimension.

Solving for missing dimensions given a volume for real-life problems can be a little tricky for 6th graders. This skill can be improved by practicing, “missing dimension given volume practice problems” which require students to use their understanding of geometric shapes and their properties to solve for the missing dimension. 

 

By using the formula for the volume of a rectangular prism (V = lwh), students can set up an equation and solve for the missing dimension.

Solving for missing dimensions given a volume for real-life problems can be a little tricky for 6th graders. This skill can be improved by practicing, “missing dimension given volume practice problems” which require students to use their understa...

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Grade 6
Geometry
6.G.A.2

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”