Surface Area of Pyramid, Cone, and Sphere

Determine the surface area of the sphere with a diameter of 20 inches. Round your answer to the nearest square inch.

• 400 in²

• 126 in²

• 1,257 in²

• 5,027 in²

A glass trophy is in the shape of a regular pyramid with the dimensions given in the diagram. What is the surface area of the regular pyramid?

• 66 in²

• 75 in²

• 121 in²

• 132 in²

A group of students went for a field trip in a park where they pitch their tent the dimensions shown in the diagram.

Part A: What is the area of the floor of the tent?

• 108 yd²

• 160 yd²

• 144 yd²

• 120 yd²

A group of students went for a field trip in a park where they pitch their tent the dimensions shown in the diagram.

Part B: What is the lateral surface area of the tent?

• 160 yd²

• 384 yd²

• 216 yd²

• 268 yd²

A cone-shaped party hat has a radius of 3 inches and a height of 4 inches.

Part A: What is the slant height of the hat?

• 5 in.

• 6 in.

• 7 in.

• 8 in.

A cone-shaped party hat has a radius of 3 inches and a height of 4 inches.

Part B: What is the surface area of the hat?

• 9π in²

• 15π in²

• 24π in²

• 75π in²

A regular pyramid is shown in the diagram. To calculate the surface area, you add the area of the base to the lateral surface area. Which of the following is the surface area of the regular pyramid? Round your answer to the nearest hundredth of a square centimeter.

• 374.12 cm²

• 972.00 cm²

• 1,346.12 cm²

• 2,692.25 cm²

• SA=14,519.36

• SA=58,077.44

• SA=27,614.56

• SA=37,991.04

Tags

CCSS.HSG.GMD.A.2

Find the surface area of a right cone has a diameter of 12 meters and a slant height of 9 meters.

• 282.6 m²

• 452.16 m²

• 169.56 m²

• 323.9 m²

• 125600 yd³

• 1256 yd³

• 157000 yd³

• 4186667 yd³