Length Area and Volume Scale Factor

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

• 2:3

• 4:9

• 3:4

• 64:729

The surface area of a rectangular prism is 166 square feet. A similar prism has a surface area of 1494 square feet. If the length of the smaller prism is 5 feet, what is the length of the larger prism?

• 10

• 15

• 45

• 50

The surface area of a certain pyramid is 54 square meters. Its volume is 648 cubic meters. If a similar pyramid has a volume of 8232 cubic meters, what is its surface area?

• 686 m²

• 168 m²

• 126 m²

• 294 m²

The surface area of a certain prism is 1088 square km and its volume is 13312 cubic km. If a similar solid has a surface area of 425 square km, what is this similar solids volume?

• 3250 cubic km

• 5200 cubic km

• 1950 cubic km

• 8320 cubic km

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

Look at the prisms. Which statement is true about the prisms?

• The surface area of prism A is 1/5 of the surface area of prism B.

• The volume of prism B is 5 times the volume of prism A.

• The volume of prism B is 1/5 of the volume of prism A. 

• The surface area of prism A is 1/2 fo the surface area of prism B.A

The volume of a rectangular prism is 250 m³. If the height is multiplied by a scale factor of 1/2, what is the new volume?

• 250 m³

• 500 m³

• 125 m³

• 75 m³

If the length of a rectangular prism is changed by a factor of 3, which of the following is true?

• The surface area changes by a factor of 3.

• The volume changes by a factor of 3.

• The surface area changes by 3.

• The volume changes by 3.

The volume of a rectangular solid is 960 cubic inches. The dimensions of the base are 12 inches by 10 inches. What is the height of the solid?

• 8 inches

• 80 inches

• 9.6 inches

• 10 inches

Carl's rectangular swimming pool has a volume of 600 cubic feet. The neighbor's pool has the same length and height, but the width is three times larger. What is the volume of the neighbor's pool?

• 1800 cubic feet

• 1200 cubic feet

• 900 cubic feet

• 600 cubic feet