HSG.GMD.A.3 Math Practice Questions

Practice playeasy

Find the volume of a cone with radius $3$ and height $5$ . Use $\pi = 3$ .

$V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 9 \times 5 = 45$ .

Practice playeasy

A storage shed is shaped like a rectangular prism that is $12$ feet long, $8$ feet wide, and $5$ feet tall. What is the volume of the shed's interior, in cubic feet?

For a rectangular prism, $V = \ell w h = 12 \times 8 \times 5 = 480$ cubic feet.

Practice playeasy

Find the volume of a cylinder with radius $3$ and height $2$ . Use $\pi = 3$ .

$V = \pi r^{2} h = 3 \times 9 \times 2 = 54$ .

Practice playeasy

A grain silo is shaped like a right circular cylinder with a radius of $4$ feet and a height of $10$ feet. What is the volume of the silo, in cubic feet?

$V = \pi r^{2} h = \pi (4)^{2}(10) = 160\pi$ cubic feet.

Practice playeasy

Find the volume of a sphere with radius $2$ . Use $\pi = 3$ .

$V = \dfrac{4}{3} \pi r^{3} = \dfrac{4}{3} \times 3 \times 8 = 32$ .

Practice playeasy

A culvert pipe is a right circular cylinder with an inside diameter of $12$ inches and a length of $20$ inches. What is the volume of the pipe's interior, in cubic inches?

The radius is $6$ inches. $V = \pi r^{2} h = \pi (6)^{2}(20) = 720\pi$ cubic inches.

Practice playeasy

Find the volume of a cone with radius $2$ and height $9$ . Use $\pi = 3$ .

$V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 4 \times 9 = 36$ .

Practice playeasy

A community pool is a rectangular prism $24$ feet long, $18$ feet wide, and $6$ feet deep when filled to the planned level. How many cubic feet of water does the pool hold at that level?

$V = \ell w h = 24 \times 18 \times 6 = 2{,}592$ cubic feet.

HSG.GMD.A.3 math practice. Learn by doing.

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