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Volume of rectangular prisms

Multiply length, width and height to find a prism’s volume.

Practice + answer key · 4 pages

Worksheet settings8 questions · 2 columns · A4
Edge lengths in cm

Length, width, and height are selected independently within this range.

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2 pages
Volume of rectangular prismsVolume of rectangular prisms. Practice. Find the volume of the rectangular prism. Find the volume of the rectangular prism. Find the volume of the rectangular prism. Find the volume of the rectangular prism.Name __________________________Date _______________Volume of rectangular prismsFind each rectangular prism volume.Worked exampleA rectangular prism is 8 cm long, 3 cm wide, and 5 cm high. → 120 cm³Base area = 8 × 3 = 24 cm².1.Find the volume of therectangular prism.Rectangular prism with length 9 cm, width 5 cm, and height 2 cm. Perspective drawing; use the labels.9 cm5 cm2 cmPerspective view2.Find the volume of therectangular prism.Rectangular prism with length 6 cm, width 8 cm, and height 5 cm. Perspective drawing; use the labels.6 cm8 cm5 cmPerspective view3.Find the volume of therectangular prism.Rectangular prism with length 5 cm, width 10 cm, and height 2 cm. Perspective drawing; use the labels.5 cm10 cm2 cmPerspective view4.Find the volume of therectangular prism.Rectangular prism with length 9 cm, width 5 cm, and height 6 cm. Perspective drawing; use the labels.9 cm5 cm6 cmPerspective viewMathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 2mathsprig-1 · mathsprig-v1 · 93673a70
Volume of rectangular prismsVolume of rectangular prisms. Practice. Find the volume of the rectangular prism. Find the volume of the rectangular prism. Find the volume of the rectangular prism. Find the volume of the rectangular prism.Name __________________________Date _______________Volume of rectangular prismsFind each rectangular prism volume.5.Find the volume of therectangular prism.Rectangular prism with length 4 cm, width 3 cm, and height 5 cm. Perspective drawing; use the labels.4 cm3 cm5 cmPerspective view6.Find the volume of therectangular prism.Rectangular prism with length 5 cm, width 7 cm, and height 3 cm. Perspective drawing; use the labels.5 cm7 cm3 cmPerspective view7.Find the volume of therectangular prism.Rectangular prism with length 5 cm, width 6 cm, and height 6 cm. Perspective drawing; use the labels.5 cm6 cm6 cmPerspective view8.Find the volume of therectangular prism.Rectangular prism with length 6 cm, width 9 cm, and height 8 cm. Perspective drawing; use the labels.6 cm9 cm8 cmPerspective viewMathSprig · mathsprig.site · support@mathsprig.sitePage 2 of 2mathsprig-1 · mathsprig-v1 · 93673a70
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Practice + answer key · 4 pages

Geometry

What you’ll practice

Use length × width × height and state cubic units.

Imagine filling the prism with unit cubes. Length times width counts one layer; multiplying by the height counts all the layers.

How this skill works

The base area is length × width.

Multiply that base area by the height to include every layer. A product of three length measurements has cubic units.

Worked example

A rectangular prism is 8 cm long, 3 cm wide, and 5 cm high.
  1. Base area = 8 × 3 = 24 cm².
  2. Volume = 24 × 5 = 120 cm³.

Answer: 120 cm³

Teaching notes

  • Use all three dimensions once.
Practice questions
  1. Find the volume of the rectangular prism.

    Rectangular prism with length 9 cm, width 5 cm, and height 2 cm. Perspective drawing; use the labels.

  2. Find the volume of the rectangular prism.

    Rectangular prism with length 6 cm, width 8 cm, and height 5 cm. Perspective drawing; use the labels.

  3. Find the volume of the rectangular prism.

    Rectangular prism with length 5 cm, width 10 cm, and height 2 cm. Perspective drawing; use the labels.

  4. Find the volume of the rectangular prism.

    Rectangular prism with length 9 cm, width 5 cm, and height 6 cm. Perspective drawing; use the labels.

  5. Find the volume of the rectangular prism.

    Rectangular prism with length 4 cm, width 3 cm, and height 5 cm. Perspective drawing; use the labels.

  6. Find the volume of the rectangular prism.

    Rectangular prism with length 5 cm, width 7 cm, and height 3 cm. Perspective drawing; use the labels.

  7. Find the volume of the rectangular prism.

    Rectangular prism with length 5 cm, width 6 cm, and height 6 cm. Perspective drawing; use the labels.

  8. Find the volume of the rectangular prism.

    Rectangular prism with length 6 cm, width 9 cm, and height 8 cm. Perspective drawing; use the labels.

Answers and steps
  1. 90 cm³
    1. Volume = 9 × 5 × 2 = 90 cm³.
  2. 240 cm³
    1. Volume = 6 × 8 × 5 = 240 cm³.
  3. 100 cm³
    1. Volume = 5 × 10 × 2 = 100 cm³.
  4. 270 cm³
    1. Volume = 9 × 5 × 6 = 270 cm³.
  5. 60 cm³
    1. Volume = 4 × 3 × 5 = 60 cm³.
  6. 105 cm³
    1. Volume = 5 × 7 × 3 = 105 cm³.
  7. 180 cm³
    1. Volume = 5 × 6 × 6 = 180 cm³.
  8. 432 cm³
    1. Volume = 6 × 9 × 8 = 432 cm³.