Unit 10

Which statement is true?

• Volume is the measure of the amount a container can hold.

• Volume is the areas of the surfaces of a container added together.

• Surface area is the measure of the space inside of a container.

• Surface area is the area of the base of a container.

Brad wants to fill this cylindrical container with motor oil. The cylinder has a radius of 6 centimeters and a height of 12 centimeters. Using 3.14 as the approximation of π, which is the closest to the maximum number of cubic centimeters the container will hold?

• 678.24 cm³

• 1,356.48 cm³

• 1,847.59 cm³

• 2,712.96 cm³

Sherri wants to cover a rectangular-shaped box with wrapping paper. Which is closest to the maximum amount of wrapping paper Sherri needs?

• 235.7 yd²

• 292.6 yd²

• 471.4 yd²

• 625.8 yd²

A rectangular prism has a volume of 150 cm3. If the height measures 3 cm and the

width measures 2 cm, what must the length be to achieve the given volume?

• 13.8 cm

• 25 cm

• 144 cm

• 145 cm

Identify the cylinders with the exact same volume.

• Cylinder A and Cylinder B

• Cylinder B and Cylinder C

• Cylinder C and Cylinder D

• Cylinder D and Cylinder E

What is the surface area of the square pyramid with a height of 8 units and a lateral height of 10 units?

• 168 units²

• 189 units²

• 6,403 units²

• 6,860 units²

What is the surface area of the cone?

• A) 6,857.76 m²

• B) 6,681.92 m²

• C) 2,814.87 m²

• D) 2,725.52 m²

Joan is going to make a cone.  The height of the cone will be 15 cm tall. The diameter of 

the cone is 16 cm.  Joan will fill the entire cone up with sand. Which is closest to the 

amount of sand she will use to fill the cone using 3.14 for pi?

• A) 125.6 cm³

• B) 251.2 cm³

• C) 1,004.8 cm³

• D) 4,019.2 cm³

Between Cone A and Cone B, which one will need less paper to wrap the box?

• A) Cone A needs less paper

• B) Cone B needs less paper

• C) Both cones need the same amount of paper

• D) Cannot be determined from the given information

What is the volume of the pyramid shown in the image?

• A) 96 in³

• B) 132 in³

• C) 288 in³

• D) 2304 in³