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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 6 cm, and height 5 cm, in cm³.

    Warm-up

    Answer:

  2. 2

    Find the volume of a rectangular prism with length 2 cm, width 8 cm, and height 3 cm, in cm³.

    Warm-up

    Answer:

  3. 3

    Find the volume of a rectangular prism with length 8 cm, width 4 cm, and height 6 cm, in cm³.

    Warm-up

    Answer:

  4. 4

    A triangular prism has a triangular face with base 6 cm and height 3 cm, and a length of 3 cm. Find its volume, in cm³.

    On level

    Answer:

  5. 5

    A triangular prism has a triangular face with base 6 cm and height 8 cm, and a length of 9 cm. Find its volume, in cm³.

    On level

    Answer:

  6. 6

    A triangular prism has a triangular face with base 10 cm and height 7 cm, and a length of 8 cm. Find its volume, in cm³.

    On level

    Answer:

  7. 7

    Find the volume of a rectangular-based pyramid with a 4 cm by 6 cm base and height 12 cm, in cm³.

    Challenge

    Answer:

  8. 8

    Find the volume of a rectangular-based pyramid with a 9 cm by 3 cm base and height 9 cm, in cm³.

    Challenge

    Answer:

  9. 9

    Find the volume of a rectangular-based pyramid with a 7 cm by 9 cm base and height 12 cm, in cm³.

    Challenge

    Answer:

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Worksheet code: eyJzIjoiZ2VvbWV0cnktdm9sdW1lLXByaXNtLXB5cmFtaWQiLCJkIjpbMTMzNzgyMDI5MSwxMTYxNTIyNTI3LDE3NjM2NDk3MzQsMTA0NDI0Mjc2LDY4MTA0MzA4NywxNDk2NzA0NDk0LDE4NzM4NzExNjMsMTIzMjM5MjQ0NywxNzYwNDI4OTU1XSwidiI6MX0.0b657210a3bd

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

  1. 1.
    210 — V = l × w × h = 7 × 6 × 5 = 210 cm³.
  2. 2.
    48 — V = l × w × h = 2 × 8 × 3 = 48 cm³.
  3. 3.
    192 — V = l × w × h = 8 × 4 × 6 = 192 cm³.
  4. 4.
    27 — Base area = (6 × 3) ÷ 2 = 9 cm², so V = 9 × 3 = 27 cm³.
  5. 5.
    216 — Base area = (6 × 8) ÷ 2 = 24 cm², so V = 24 × 9 = 216 cm³.
  6. 6.
    280 — Base area = (10 × 7) ÷ 2 = 35 cm², so V = 35 × 8 = 280 cm³.
  7. 7.
    96 — V = (l × w × h) ÷ 3 = (4 × 6 × 12) ÷ 3 = 96 cm³.
  8. 8.
    81 — V = (l × w × h) ÷ 3 = (9 × 3 × 9) ÷ 3 = 81 cm³.
  9. 9.
    252 — V = (l × w × h) ÷ 3 = (7 × 9 × 12) ÷ 3 = 252 cm³.