Grade 5 Math · Spatial Sense

Volume of a rectangular prism using unit cubes

Find the volume of a rectangular prism built from stacked layers of unit cubes, or work backward to find a missing dimension. Unlimited questions, five difficulty levels, and a full worked solution every time — free.

Practice this skill Curriculum: G5-E2.1

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A rectangular prism is built out of stacked unit cubes. It is 4 cubes long, 2 cubes wide, and 4 layers tall. How many unit cubes were used to build it?

Answer: 32

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A rectangular prism is built out of stacked unit cubes. It is 2 cubes long, 2 cubes wide, and 3 layers tall. How many unit cubes were used to build it?

📘 Worked solution
1One layer: 2 · 2 = 4 cubesEach layer is a rectangle of cubes, 2 long by 2 wide.
24 · 3 = 12 cubesThere are 3 identical layers stacked up, so multiply the layer by the height.

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