Volume and Surface Area Quick Check

Which of the expressions could be used to find the lateral surface area of the triangular prism shown?

• (16 + 10 + 10)(12)

• (16 + 10 + 10)(6)

• (16 + 10 + 10)(12) + 2(48)

• (12 + 12 + 16 + 16)(10)

Tags

CCSS.7.G.B.6

Which of the following descriptions correctly explains how to find the volume of the cylinder shown?

• Multiply 360 in.² (the area of the base) by 10 in. (the height of the cylinder)

• Add 157 in.² (the area of the bases) with 1130.4 in.² (the lateral surface area

• Multiply 314 in.² (the area of the base) by 36 in. (the height of the cylinder)

• Multiply 78.5 in.² (the area of the base) by 36 in. (the height of the cylinder)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The rectangular prism represents a box that is made completely out of cardboard. Find the total square inches of cardboard made up by the box.

• 330.48 in.²

• 297.36 in.²

• 42.6 in.²

• 187.2 in.²

Tags

CCSS.7.G.B.6

Cindy has a cylindrical container in her kitchen with the measurements shown. If ¾ of the space inside the container is filled, how many cubic inches of sugar are in the container?

• 602.88 in.³

• 452.16 in.³

• 803.84 in.³

• 200.96 in.³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Oscar needs to fill a sphere shaped balloon with helium. If the balloon has a diameter of 8 inches, what is the total amount of helium that the balloon will hold to the nearest tenth? (Use 3.14 for π)

• 2,143.6 in.³

• 714.5 in.³

• 267.9 in.³

• 150.7 in.³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Joyce has a cone shaped planter hanging on her back porch. If the planter has a radius 6.8 inches and a height of 12.2 inches, what is the total amount of soil that the planter will hold to the nearest tent? (Use 3.14 for π)

• 590.5 in.³

• 1,771.4 in.³

• 145.2 in.³

• 196.8 in.³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Terrance needs to find the lateral surface area of the box shown. Assuming that the base is the bottom of the prism, which of the expressions will give the correct lateral surface area?

• (14.5)(7)(8.6)

• (14.5 + 7)(8.6)

• (14.5 + 14.5 + 7 + 7)(8.6)

• (14.5 + 14.5 + 7 + 7)(8.6) + 2(14.5)(7)

Tags

CCSS.7.G.B.6

The can shown has a diameter of 5 inches and a height of 6.5 inches. The can's label covers the entire lateral surface area of the can. How many square inches are covered by the label of the can?

• 204.1 in²

• 39.25 in²

• 68 in²

• 102.05 in²

Tags

CCSS.6.G.A.4