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Solve problems involving the volume of prisms and pyramids · Grade 9 · E1.6

Name: ______________________

Date: ______________________

  1. 1

    Find the volume of a rectangular prism with length 7 cm, width 4 cm, and height 2 cm, in cm³.

    Warm-up

    Answer:

  2. 2

    Find the volume of a rectangular prism with length 9 cm, width 3 cm, and height 3 cm, in cm³.

    Warm-up

    Answer:

  3. 3

    Find the volume of a rectangular prism with length 7 cm, width 9 cm, and height 4 cm, in cm³.

    Warm-up

    Answer:

  4. 4

    A triangular prism has a triangular face with base 12 cm and height 4 cm, and a length of 6 cm. Find its volume, in cm³.

    On level

    Answer:

  5. 5

    A triangular prism has a triangular face with base 10 cm and height 2 cm, and a length of 3 cm. Find its volume, in cm³.

    On level

    Answer:

  6. 6

    A triangular prism has a triangular face with base 8 cm and height 2 cm, and a length of 5 cm. Find its volume, in cm³.

    On level

    Answer:

  7. 7

    Find the volume of a rectangular-based pyramid with a 9 cm by 6 cm base and height 6 cm, in cm³.

    Challenge

    Answer:

  8. 8

    Find the volume of a rectangular-based pyramid with a 6 cm by 5 cm base and height 12 cm, in cm³.

    Challenge

    Answer:

  9. 9

    Find the volume of a rectangular-based pyramid with a 9 cm by 7 cm base and height 9 cm, in cm³.

    Challenge

    Answer:

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Worksheet code: eyJzIjoiZ2VvbWV0cnktdm9sdW1lLXByaXNtLXB5cmFtaWQiLCJkIjpbMTUyNDA0MjA1MSwyNjA3NDk5MTcsMTYxMDA2MTA3NiwxNDI1NDkxNjcsODg5Njk0NjYwLDIwNTc4NDc2OTQsMTA0MTgzNTc0NiwxNjA3NTc4MTY2LDY0MDg1MzM5MV0sInYiOjF9.f65a6a43ba58

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Answer key · Solve problems involving the volume of prisms and pyramids

  1. 1.
    56 — V = l × w × h = 7 × 4 × 2 = 56 cm³.
  2. 2.
    81 — V = l × w × h = 9 × 3 × 3 = 81 cm³.
  3. 3.
    252 — V = l × w × h = 7 × 9 × 4 = 252 cm³.
  4. 4.
    144 — Base area = (12 × 4) ÷ 2 = 24 cm², so V = 24 × 6 = 144 cm³.
  5. 5.
    30 — Base area = (10 × 2) ÷ 2 = 10 cm², so V = 10 × 3 = 30 cm³.
  6. 6.
    40 — Base area = (8 × 2) ÷ 2 = 8 cm², so V = 8 × 5 = 40 cm³.
  7. 7.
    108 — V = (l × w × h) ÷ 3 = (9 × 6 × 6) ÷ 3 = 108 cm³.
  8. 8.
    120 — V = (l × w × h) ÷ 3 = (6 × 5 × 12) ÷ 3 = 120 cm³.
  9. 9.
    189 — V = (l × w × h) ÷ 3 = (9 × 7 × 9) ÷ 3 = 189 cm³.