Maths Library

Volume of Rectangular Prisms: Grade 7 math

This topic covers finding the volume of cubes and rectangular prisms by multiplying their three dimensions. The worksheet practises calculating volume from given side lengths and finding missing dimensions given the total volume.

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What this covers

Volume of Rectangular Prisms is taught in Grade 7 (age 12 to 13) as a main teaching focus. It sits in the Measurement strand.

Worked example

Find the volume of a cuboid with length 8 cm, width 5 cm, and height 3 cm.

  1. Use the formula Volume = length × width × height
  2. Calculate 8 × 5 = 40
  3. Multiply by height: 40 × 3 = 120

Answer: 120 cm^3

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Counting unit cubes in simple small 3D blocks
  2. Cubes and cuboids with single-digit integer dimensions
  3. Cuboids with two-digit integer side lengths up to 25
  4. Cuboids with simple decimal dimensions (e.g. 2.5 cm)
  5. Finding a missing side length given the volume, or fractional dimensions

Common mistakes

  • Adding dimensions together instead of multiplying them
  • Confusing surface area with volume

Curriculum links

Indicative matches to Common Core State Standards. Check wording and codes against the official document.

  • 7.G.B.6 Solve real-world problems involving area, volume, and surface area of two- and three-dimensional objects.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Volume of Rectangular Prisms

Grade 7 math

Qs
6
Marks
18
NameDateScore / 18
1.
Find the volume of a cuboid 8 cm by 4 cm by 7 cm.
[3]
2.
Find the volume of a cuboid 3 cm by 4 cm by 7 cm.
[3]
3.
Find the volume of a cuboid 10 cm by 6 cm by 6 cm.
[3]
4.
Find the volume of a cuboid 11 cm by 5 cm by 3 cm.
[3]
5.
Find the volume of a cuboid 6 cm by 5 cm by 2 cm.
[3]
6.
Find the volume of a cuboid 14 cm by 6 cm by 3 cm.
[3]

Answer key

  1. 224 cm3Volume = length × width × height; 8 × 4 × 7 = 224 cm3
  2. 84 cm3Volume = length × width × height; 3 × 4 × 7 = 84 cm3
  3. 360 cm3Volume = length × width × height; 10 × 6 × 6 = 360 cm3
  4. 165 cm3Volume = length × width × height; 11 × 5 × 3 = 165 cm3
  5. 60 cm3Volume = length × width × height; 6 × 5 × 2 = 60 cm3
  6. 252 cm3Volume = length × width × height; 14 × 6 × 3 = 252 cm3