Lesson 7 of 8 · Grades 3 to 6
Practice: Volume of rectangular prisms
Ten prism volume questions: length × width × height, cubes, cubic units, missing edges and real boxes.
How to use this page
This page gives you ten more questions on the same idea as the lesson "Volume of rectangular prisms". Work through them at your own speed. Write your answer down or say it out loud before you open the answer box, so you give yourself a real chance to think.
If a question feels hard, go back to the lesson and look at the worked example again. Getting a question wrong is useful; it shows you the part that needs one more look.
Practice questions
Answer all ten questions in your notebook or in your head. Then open each answer to check your work.
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A prism is 7 cm long, 4 cm wide and 3 cm tall. What is its volume?
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84 cm³. 7 × 4 × 3 = 84.
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A box is 12 m long, 4 m wide and 2 m tall. What is its volume?
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96 m³. 12 × 4 × 2 = 96.
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A prism has a volume of 60 cm³, a length of 5 cm and a width of 4 cm. How tall is it?
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3 cm. 5 × 4 = 20, and 60 ÷ 20 = 3.
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A cube has edges of 5 cm. What is its volume?
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125 cm³. 5 × 5 × 5 = 125.
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A box is 9 cm long, 6 cm wide and 3 cm tall. What is its volume?
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162 cm³. 9 × 6 × 3 = 162.
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A room is 8 m long, 5 m wide and 3 m tall. What is its volume?
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120 m³. 8 × 5 × 3 = 120.
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A prism has a volume of 96 cm³, a length of 8 cm and a height of 4 cm. How wide is it?
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3 cm. 8 × 4 = 32, and 96 ÷ 32 = 3.
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A cube has edges of 6 cm. What is its volume?
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216 cm³. 6 × 6 × 6 = 216.
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A shipping box is 30 cm long, 20 cm wide and 10 cm tall. What is its volume?
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6,000 cm³. 30 × 20 × 10 = 6,000.
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A box is 15 cm by 4 cm by 2 cm. A cube has edges of 5 cm. Which has the bigger volume?
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The cube. The box is 120 cm³, and the cube is 125 cm³.