StudyWiz home
Sign inStart free

Volume of prisms worksheet

Grade 6 math, Common Core 6.G.A.2. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

By the StudyWiz teamUpdated October 23, 2026How we write our pages

NameDate

Volume of prisms

Grade 6 math, Common Core 6.G.A.2

Find the volume. Include the units.

  1. 1.
    How many cubes with 12-m edges fit in a box that is 2 by 1 by 3 m?
  2. 2.
    A prism has a volume of 200 ft³. Its base is 8 ft by 5 ft. How tall is it?
  3. 3.
    How many cubes with 12-cm edges fit in a box that is 2 by 4 by 1 cm?
  4. 4.
    How many cubes with 12-m edges fit in a box that is 4 by 2 by 2 m?
  5. 5.
    How many cubes with 12-cm edges fit in a box that is 5 by 2 by 1 cm?
  6. 6.
    How many cubes with 12-m edges fit in a box that is 4 by 1 by 2 m?
  7. 7.
    A box is 1 12 in long, 6 in wide and 3 12 in tall.
  8. 8.
    A prism has a volume of 576 m³. Its base is 9 m by 8 m. How tall is it?
  9. 9.
    A rectangular prism is 2 m long, 4 m wide and 5 m tall.
  10. 10.
    A prism has a volume of 300 cm³. Its base is 10 cm by 6 cm. How tall is it?
Free worksheets for grades 6 to 8 from StudyWiz, with answer keys: studywiz.online/worksheets

Answer key: Volume of prisms

Grade 6 math. Each answer has a few worked steps, to help check the method as well as the answer.

  1. 1. 48 cubes

    Each edge holds twice as many: 4 × 2 × 6 = 48

  2. 2. 5 ft

    Base area: 8 × 5 = 40200 ÷ 40 = 5

  3. 3. 64 cubes

    Each edge holds twice as many: 4 × 8 × 2 = 64

  4. 4. 128 cubes

    Each edge holds twice as many: 8 × 4 × 4 = 128

  5. 5. 80 cubes

    Each edge holds twice as many: 10 × 4 × 2 = 80

  6. 6. 64 cubes

    Each edge holds twice as many: 8 × 2 × 4 = 64

  7. 7. 31 12 in³

    32 × 6 × 72 = 632 = 31 12

  8. 8. 8 m

    Base area: 9 × 8 = 72576 ÷ 72 = 8

  9. 9. 40 m³

    2 × 4 × 5 = 40

  10. 10. 5 cm

    Base area: 10 × 6 = 60300 ÷ 60 = 5

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About volume of prisms

Volume is the space inside a 3D shape, measured in cubic units. For a rectangular prism, multiply length × width × height. The edges can be fractions: multiply the fractions just as you would whole numbers. Counting how many small cubes fit inside gives the same answer.

Worked example 1

How many cubes with 12-ft edges fit in a box that is 5 by 2 by 1 ft?
  1. Step 1.Each edge holds twice as many: 10 × 4 × 2 = 80

Answer: 80 cubes

Worked example 2

A box is 1 12 m long, 3 m wide and 2 m tall.
  1. Step 1.32 × 3 × 2 = 9

Answer: 9 m³

Worked example 3

A rectangular prism is 12 m long, 7 m wide and 9 m tall.
  1. Step 1.12 × 7 × 9 = 756

Answer: 756 m³

Watch out for

  • Volume is in cubic units, like cm³, because you are counting cubes.
  • Turn mixed numbers into improper fractions before multiplying.
  • If you know the volume and two edges, divide to find the third.

Practice volume of prisms online

On StudyWiz, your kid can practice volume of prisms with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

More grade 6 math worksheets

More from Geometry:

Other grade 6 topics:

See all 6th grade math worksheets, or switch to grade 7 or grade 8.

Keep reading

Try Wiz with tonight’s homework

Free to start, no card needed. Each kid gets 3 homework questions, 5 practice quizzes and 1 writing review a day on the free plan.

Start freeSee pricing