Unit 10 Test: Solve Problems Involving Surface Area and Volume

A right square pyramid is shown. What is the surface area, in square centimeters, of the pyramid?

• 140

• 180

• 200

• 260

Which statement about the surface area of a pyramid is true?

• The surface area is the amount of sand it would take to fill a pyramid.

• The surface area of a pyramid is always measured in units cubed.

• The surface area is the amount of paint it would take to paint every surface of the Pyramid.

• The surface area of a pyramid is always the area of one side of the pyramid.

A right rectangular pyramid is shown. What is the surface area, in square centimeters, of the pyramid?

A model of the Great Pyramid of Giza has a square base with edge lengths of 756 millimeters. Each triangular face of the model has a slant height of 612 millimeters. What is the surface area, in square millimeters, of the model including the base? All the triangular faces of the square pyramid shown are congruent. What is the surface area, in square feet, of the pyramid?

Which statement about the volumes of cones and cylinders is true?

• A. A cone and a cylinder with the same height will never have the same volume.

• B. A cone and a cylinder with the same base area and the same height will always have the same volume.

• C. The volume of a cylinder will always be ⅓ the volume of a cone with the same base area and the same height.

• D. The volume of a cylinder will always be 3 times the volume of a cone with the same base area and the same height.

A cone with a radius of 5 inches and a slant height of 13 inches is shown. Which measure is closest to the volume, in cubic inches, of the cone?

• 314

• 340

• 943

• 1,021

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere has a radius of 2.2 inches. What is the volume, in cubic inches, of the sphere? Round your answer to the nearest tenth.

• 44.5 to 44.6

• 43.5 to 43.6

• 45.5 to 45.6

• 46.5 to 46.6

A cone has a height of 12 centimeters and a radius of 3 centimeters. What is the volume, in cubic centimeters, of the cone? Round your answer to the nearest tenth.

• 113 to 113.2

• 120.5

• 105.3

• 99.9

A right pyramid has a rectangular base with side lengths of 3 inches and 7 inches. The pyramid’s height is 10 inches. What is the volume, in cubic inches, of the pyramid?

Determine the maximum number of cups that can be completely filled with water from the sphere-shaped container when using the cone-shaped cups with the given dimensions. Show or explain your work.