Volume and Surface Area

Colby is finding the surface area of the triangular prism shown. Which expression will give him the correct value of B, the area of the base?

• $7\left(15\right)$

• $7\left(11\right)$

• $\frac{1}{2}\left(7\right)\left(11\right)$

• $\frac{1}{2}\left(7\right)\left(15\right)$

Tags

CCSS.7.G.B.6

What is the volume of the cylinder above?

• $9420$

• $9424$

• $2355$

• $28260$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Benton is painting the lateral surface of a cylinder shaped like the one shown. Which expression will give him the number of square inches that he will be painting?

• $2\pi\left(3.5\right)\left(5\right)$

• $2\pi\left(1.75\right)\left(5\right)$

• $2\pi\left(2.5\right)\left(3.5\right)$

• $2\pi\left(1.75\right)\left(2.5\right)$

Angela needs to find the volume of the sphere above. Which formula should she use?

• $\frac{4}{3}\left(\pi\right)\left(17^3\right)$

• $\frac{4}{3}\left(\pi\right)\left(17^2\right)$

• $\frac{4}{3}\left(\pi\right)\left(8.5^3\right)$

• $\frac{4}{3}\left(\pi\right)\left(8.5^2\right)$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Brendan is building a dog house, and the dimensions of the roof are shown above. What is the lateral surface area of the roof?

• 24.84 ft²

• 46 ft²

• 54.1 ft²

• 43.2 ft

Tags

CCSS.7.G.B.6

What is the volume of the cone above?

• $20.93$

• $5.23$

• $15.7$

• $78.5$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The cylindrical coffee cup has a radius of 1.8 inches and a height of 4 inches. Find the surface area of the coffee cup, not including the handle.

• $55.5\ inches^2$

• $65.6\ inches^2$

• $45.2\ inches\ ^2$

• $40.7\ inches^2$

A cylinder has a volume of 24 cubic feet. Which of the following would have the same radius and height as they cylinder?

• A cone with a volume of 72 ft²

• A cone with a volume of 32 ft²

• A sphere with a volume of 18 ft³

• A cone with a volume of 8 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the lateral surface area of the prism above.

• 232.75 mm²

• 332.5 mm²

• 174 mm²

• 275.5 mm²

Tags

CCSS.7.G.B.6

What is the volume of the cone above?

• 414.48

• 1243.44

• 103.62

• 759.88

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3