Volume of cuboids · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Finding the volume of a box

Mathematics · Measurement · ages 10-11
Name ______________________   Date ____________

  1. A cuboid has base area 20 cm² and height 6 cm. What is its volume in cm³?

    Answer: ______________

  2. A cuboid is 4 cm long, 3 cm wide and 5 cm tall. What is its volume in cm³?

    Answer: ______________

  3. What is the formula for the volume of a cuboid?

    • V = l × w × h
    • V = l + w + h
    • V = l × w

  4. If you multiply the length, width, and height of a box, you get its volume.

    Circle one:   True   False

  5. Cuboid A is 4 by 3 by 5 cm. Cuboid B is 6 by 5 by 2 cm. Which has the greater capacity?

    • Same
    • A holds more
    • B holds more
    • You cannot tell

  6. Box A is 5 cm × 4 cm × 3 cm. Box B is 4 cm × 4 cm × 4 cm. Which box holds more?

    • Box A
    • Box B
    • They are equal

  7. Packing a 4 by 3 by 5 cuboid gives 60 cubes, and 4 x 3 x 5 = 60. Why do both routes agree?

    • Each step counts real cubes
    • Multiplication always beats counting
    • Cubes are smaller than centimetres
    • Packing only works for squares

  8. A fish tank is 50 cm long, 30 cm wide and 40 cm tall. What volume of water fills it?

    • 60000 cm³
    • 120 cm³
    • 6000 cm³
    • 600 cm³

  9. A cube has sides of 7 cm. What is its volume in cm³?

    Answer: ______________

  10. Femi packed unit cubes into a box and counted 90 in total. He says the length, width, and height must add up to 90. What is wrong with this?

    • Nothing, that's correct
    • Multiply to 90, not add
    • The edges must all be equal
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Finding the volume of a box W1-mt_nTL-owFJTF-s1

  1. 120 · 20 x 6 = 120 cm³.
  2. 60 · 4 x 3 x 5 = 60 cm³.
  3. V = l × w × h · Volume multiplies all three edge lengths together.
  4. True · That is exactly the formula V = l × w × h.
  5. Same · Both work out to 60 cubic cm: 4 x 3 x 5 and 6 x 5 x 2.
  6. Box B · Box A: 5 × 4 × 3 = 60 cm³. Box B: 4 × 4 × 4 = 64 cm³. 64 is bigger, so Box B holds more.
  7. Each step counts real cubes · 4 x 3 counts one layer, and x 5 stacks the layers: every factor counts real cubes.
  8. 60000 cm³ · 50 x 30 x 40 = 60000 cm³.
  9. 343 · 7 x 7 x 7 = 343 cm³.
  10. Multiply to 90, not add · Packing cubes gives the same total as multiplying l × w × h, so the edges must multiply to 90, not add up to it.
Worksheet · LightMySky