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Grade 7 Volume: Prisms & Cylinders Worksheet with Answers

Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math

Unit 5: GeometryArea, Surface Area & VolumeCCSS 7.G.B.6

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 7 · Math

Score___ / 12

Name

Class

Date

Learning goal: Area, Surface Area & Volume · CCSS 7.G.B.6

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 6 in and height 6 in. The prism is 2 in long. Find its volume.

Answer: 36 in³

RememberVolume

Rectangular prismV = l × w × hCylinderV = πr²h
  1. 1

    Find the volume of a rectangular prism 6 × 5 × 2 cm.

    Answer
  2. 2

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

    r = 1 cmh = 2 cm
    Answer
  3. 3

    Find the volume of a cylinder with radius 6 in and height 5 in. (Use π ≈ 3.14, round to 2 decimals)

    r = 6 inh = 5 in
    Answer
  4. 4

    Find the volume of a rectangular prism 6 × 10 × 9 m.

    Answer
  5. 5

    Find the volume of a rectangular prism 6 × 10 × 11 in.

    Answer
  6. 6

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

    r = 2 inh = 4 in
    Answer
  7. 7

    A triangular prism has a triangular face with base 10 in and height 3 in. The prism is 5 in long. Find its volume.

    Show your work
    Answer
  8. 8

    Find the volume of a rectangular prism 11 × 7 × 2 m.

    Answer
  9. 9

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

    r = 1 inh = 2 in
    Answer
  10. 10

    A triangular prism has a triangular face with base 4 in and height 6 in. The prism is 13 in long. Find its volume.

    Show your work
    Answer
  11. 11

    Find the volume of a rectangular prism 5 × 6 × 8 cm.

    Answer
  12. 12

    Find the volume of a cylinder with radius 5 cm and height 7 cm. (Use π ≈ 3.14, round to 2 decimals)

    r = 5 cmh = 7 cm
    Answer

★ Challenge corner for fast finishers

Each scale balances. Scale 1: circle + square = 8; scale 2: square + triangle = 13; scale 3: circle + circle = 6. What is one triangle worth?

8Scale 113Scale 26Scale 3

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/volume_prisms_cylinders

Answer key (click to show)
  1. 1.60 cm³
  2. 2.6.28 cm³
  3. 3.565.2 in³
  4. 4.540 m³
  5. 5.660 in³
  6. 6.50.24 in³
  7. 7.75 in³
  8. 8.154 m³
  9. 9.6.28 in³
  10. 10.156 in³
  11. 11.240 cm³
  12. 12.549.5 cm³
  13. ★8 (challenge corner)

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How to use this worksheet

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