Volume of prisms and cylinders Practice Questions (Grade 7)

Volume of prisms and cylinders. Game on.

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.

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Warm-upeasy

A cylinder has radius $2$ and height $4$ . Using $\pi = 3$ , what is its volume?

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

Mid-gameeasy

A rectangular prism has length $2$ , width $4$ , and height $9$ . What is its volume?

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

Mid-gameeasy

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

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

Mid-gameeasy

A rectangular prism has length $2$ , width $3$ , and height $4$ . What is its volume?

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

Mid-gameeasy

A cylinder has radius $1$ and height $5$ . Using $\pi = 3$ , what is its volume?

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

Mid-gameeasy

A rectangular prism has length $2$ , width $5$ , and height $6$ . What is its volume?

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

Mid-gameeasy

A cylinder has radius $2$ and height $3$ . Using $\pi = 3$ , what is its volume?

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

Buzzer beatereasy

A rectangular prism has length $3$ , width $3$ , and height $5$ . What is its volume?

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

Volume of prisms and cylinders. Game on.

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