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Grade 8 Volume: Prisms & Cylinders Worksheet with Answers

Grade 8 (US) · Year 9 (UK) · Class 8 (India) · Math

Unit 4: GeometryVolumeCCSS 8.G.C.9

Finding the volume of rectangular and triangular prisms and cylinders, and working backwards to find a missing dimension. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Volume: Prisms & Cylinders

Grade 8 · Math

Score___ / 12

Name

Class

Date

Learning goal: Volume · CCSS 8.G.C.9

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

A triangular prism has a triangular face with base 12 m and height 10 m. The prism is 11 m long. Find its volume.

Answer: 660 m³

RememberVolume

Rectangular prismV = l × w × hCylinderV = πr²hConeV = ⅓πr²hSphereV = 4⁄3πr³
  1. 1

    A triangular prism has a triangular face with base 10 m and height 12 m. The prism is 12 m long. Find its volume.

    Show your work
    Answer
  2. 2

    A triangular prism has a triangular face with base 8 cm and height 10 cm. The prism is 7 cm long. Find its volume.

    Show your work
    Answer
  3. 3

    A triangular prism has a triangular face with base 2 m and height 7 m. The prism is 4 m long. Find its volume.

    Show your work
    Answer
  4. 4

    Find the volume of a cylinder with radius 3 cm and height 12 cm. (Use π ≈ 3.14, round to 2 decimals)

    r = 3 cmh = 12 cm
    Answer
  5. 5

    A triangular prism has a triangular face with base 10 m and height 8 m. The prism is 7 m long. Find its volume.

    Show your work
    Answer
  6. 6

    Find the volume of a cylinder with radius 2 cm and height 13 cm. (Use π ≈ 3.14, round to 2 decimals)

    r = 2 cmh = 13 cm
    Answer
  7. 7

    Find the volume of a cylinder with radius 1 m and height 13 m. (Use π ≈ 3.14, round to 2 decimals)

    r = 1 mh = 13 m
    Answer
  8. 8

    A triangular prism has a triangular face with base 4 m and height 4 m. The prism is 13 m long. Find its volume.

    Show your work
    Answer
  9. 9

    Find the volume of a cylinder with radius 4 in and height 11 in. (Use π ≈ 3.14, round to 2 decimals)

    r = 4 inh = 11 in
    Answer
  10. 10

    Find the volume of a rectangular prism 2 × 6 × 12 cm.

    Answer
  11. 11

    Find the volume of a cylinder with radius 6 m and height 13 m. (Use π ≈ 3.14, round to 2 decimals)

    r = 6 mh = 13 m
    Answer
  12. 12

    A triangular prism has a triangular face with base 8 m and height 11 m. The prism is 9 m long. Find its volume.

    Show your work
    Answer

★ Challenge corner for fast finishers

If x + 1/x = 5, what is x^2 + 1/x^2?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/8/volume_prisms_cylinders

Answer key (click to show)
  1. 1.720 m³
  2. 2.280 cm³
  3. 3.28 m³
  4. 4.339.12 cm³
  5. 5.280 m³
  6. 6.163.28 cm³
  7. 7.40.82 m³
  8. 8.104 m³
  9. 9.552.64 in³
  10. 10.144 cm³
  11. 11.1469.52 m³
  12. 12.396 m³
  13. ★23 (challenge corner)

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How to use this worksheet

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Guides for teaching Volume: Prisms & Cylinders

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