Grade 7 · Geometry & measurement

Volume of prisms and cylinders practice

Volume of prisms and cylinders is a grade 7 math skill aligned to Common Core standard 7.G.B.6 and 8.G.C.9: solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 31 volume of prisms and cylinders problems our math games drill.

CCSS 7.G.B.6CCSS 8.G.C.931 questions in the bank
Sample questions

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Question 1easy

A cylinder has radius 22 and height 44. Using π=3\pi = 3, what is its volume?

V=πr2h=3×4×4=48V = \pi r^2 h = 3 \times 4 \times 4 = 48.

Question 2easy

A rectangular prism has length 22, width 44, and height 99. What is its volume?

V=2×4×9=72V = 2 \times 4 \times 9 = 72.

Question 3easy

A cylinder has r2=9r^2 = 9 and height 33. Using π=3\pi = 3, what is its volume?

V=πr2h=3×9×3=81V = \pi r^2 h = 3 \times 9 \times 3 = 81.

Question 4easy

A rectangular prism has length 22, width 33, and height 44. What is its volume?

V=2×3×4=24V = 2 \times 3 \times 4 = 24.

Question 5easy

A cylinder has radius 11 and height 55. Using π=3\pi = 3, what is its volume?

V=πr2h=3×1×5=15V = \pi r^2 h = 3 \times 1 \times 5 = 15.

Question 6easy

A rectangular prism has length 22, width 55, and height 66. What is its volume?

V=2×5×6=60V = 2 \times 5 \times 6 = 60.

Question 7easy

A cylinder has radius 22 and height 33. Using π=3\pi = 3, what is its volume?

V=πr2h=3×4×3=36V = \pi r^2 h = 3 \times 4 \times 3 = 36.

Question 8easy

A rectangular prism has length 33, width 33, and height 55. What is its volume?

V=3×3×5=45V = 3 \times 3 \times 5 = 45.

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