Maths Library

Volume of Rectangular Prisms: Grade 6 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 6 (age 11 to 12) 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.

  • 6.G.A.2 Calculate the volume of right rectangular prisms with fractional edge lengths.

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 6 math

Qs
6
Marks
12
NameDateScore / 12
1.
Find the volume of a cuboid 6 cm by 4 cm by 7 cm.
[2]
2.
Find the volume of a cuboid 3 cm by 4 cm by 7 cm.
[2]
3.
Find the volume of a cuboid 8 cm by 6 cm by 6 cm.
[2]
4.
Find the volume of a cuboid 8 cm by 5 cm by 3 cm.
[2]
5.
Find the volume of a cuboid 4 cm by 5 cm by 2 cm.
[2]
6.
Find the volume of a cuboid 10 cm by 6 cm by 3 cm.
[2]

Answer key

  1. 168 cm3Volume = length × width × height; 6 × 4 × 7 = 168 cm3
  2. 84 cm3Volume = length × width × height; 3 × 4 × 7 = 84 cm3
  3. 288 cm3Volume = length × width × height; 8 × 6 × 6 = 288 cm3
  4. 120 cm3Volume = length × width × height; 8 × 5 × 3 = 120 cm3
  5. 40 cm3Volume = length × width × height; 4 × 5 × 2 = 40 cm3
  6. 180 cm3Volume = length × width × height; 10 × 6 × 3 = 180 cm3