Volume and Surface Area of Prisms and Cylinders · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Prisms: base area times length

Mathematics · Geometry · ages 14-15
Name ______________________   Date ____________

  1. A cylinder has a base area of 25 cm2 and a height of 6 cm. What is its volume in cm3?

    Answer: ______________

  2. A triangular prism has a right-angled triangle base with legs 6 cm and 4 cm. The prism is 10 cm long. What is its volume?

    • 120 cm3
    • 60 cm3
    • 24 cm3
    • 240 cm3

  3. A cylinder has a base area of 25 square cm and a height of 6 cm. What is its volume in cubic cm?

    Answer: ______________

  4. The volume of any prism equals the area of one end multiplied by its length.

    Circle one:   True   False

  5. A triangular prism has volume 240 cm3. Its triangular base has area 24 cm2. What is the length of the prism in cm?

    Answer: ______________

  6. A triangular prism has a right-angled base with legs 6 cm and 4 cm. The prism is 10 cm long. What is its volume?

    • 60 cubic cm
    • 240 cubic cm
    • 120 cubic cm

  7. A triangular prism has volume 240 cubic cm. Its triangular base has area 24 square cm. What is the length of the prism in cm?

    Answer: ______________

  8. A closed cylinder has radius 2 cm and height 3 cm. Take pi = 3.14. What is its total surface area in cm2?

    Answer: ______________

  9. A cylinder holds 62.8 cubic cm. Its base radius is 2 cm. Take pi as 3.14. What is its height in cm?

    • 5 cm
    • 10 cm
    • 2.5 cm

  10. A cylinder holds 62.8 cm3. Its base radius is 2 cm. Take pi = 3.14. What is its height?

    • 5 cm
    • 10 cm
    • 4 cm
    • 2 cm
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Answer key

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

Prisms: base area times length W1-mt_JTLJ5LDrYh-s1

  1. 150 · Volume is base area times height: 25 by 6 = 150.
  2. 120 cm3 · Base area is half of 6 by 4, which is 12, and 12 times the length 10 is 120.
  3. 150 · End area times length: 25 times 6 is 150 cubic cm.
  4. True · That shortcut holds for every prism and cylinder.
  5. 10 · Length is volume divided by base area: 240 divided by 24 = 10.
  6. 120 cubic cm · Half of 6 times 4 is 12, and 12 times 10 is 120 cubic cm.
  7. 10 · Work backwards: 240 divided by 24 gives 10 cm.
  8. 62.8 · Two circles give 25.12 and the curved rectangle gives 37.68, totalling 62.8.
  9. 5 cm · Base area is 12.56, and 62.8 divided by 12.56 is 5 cm.
  10. 5 cm · Base area is 3.14 by 4 = 12.56, and 62.8 divided by 12.56 = 5.
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