Geometry Unit 7 Review

Which shape could be thought of as created by stacking congruent polygons?

• cone

• rectangular prism

• square pyramid

• triangular pyramid

The right triangular prism has a volume of $1,152\ cm^3$ .

What is the value of x, the height of the prism?

• 6

• 8

• 12

• 16

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of  $2.16\ ft$  and an area of  $8\ ft^2$ . Angle ACB measures  $30\degree$ .  What is the volume of the pyramid, to the nearest cubic foot?

•  $5\ ft^3$  

•  $9\ ft^3$  

•  $14\ ft^3$  

•  $19\ ft^3$  

A solid right pyramid has a regular hexagonal base with an area of  $5.2\ cm^2$  and a height of  $h\ cm$ . Which expression represents the volume of the pyramid?

•  $\frac{1}{5}\left(5.2\right)h\ cm^3$  

•  $\frac{1}{5h}\left(5.2\right)h\ cm^3$  

•  $\frac{1}{3}\left(5.2\right)h\ cm^3$  

•  $\frac{1}{3h}\left(5.2\right)h\ cm^3$  

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder?

• $320\pi$ cubic units

• $597\pi$ cubic units

• $640\pi$ cubic units

• $725\pi$ cubic units

The diameter of the base of the cone measures 8 units. The height measures 6 units. What is the volume of the cone?

• $24\pi$ cubic units

• $32\pi$ cubic units

• $48\pi$ cubic units

• $64\pi$ cubic units

The large sphere has a diameter of 12 feet. What is the volume of the shaded figure? Express the answer in terms of  $\pi$ ?

•  $252\pi\ ft^3$  

•  $261\pi\ ft^3$  

•  $288\pi\ ft^3$  

•  $324\pi\ ft^3$  

A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters and 12 centimeters. The distance between the bases is 10 centimeters. What is the surface area of the triangular prism?

• 210 square centimeters

• 318 square centimeters

• 360 square centimeters

• 468 square centimeters

The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for  $\pi$  and round to the nearest whole number.

•  $267\ cm^2$  

•  $283\ cm^2$  

•  $456\ cm^2$  

•  $487\ cm^2$  

The two square pyramids are similar. The side length of the smaller pyramid is  $\frac{3}{4}$  the side length of the larger pyramid. Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?

•  $\frac{9}{16}$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

•  $\frac{16}{9}$