Scale Factor Volume Surface Area

The surface area of the larger prism is 2560 m².  Find the surface area of the smaller prism.

• 921.6 m²

• 1536 m²

• 553 m²

• 7111.1 m²

Calculate the composite surface area of the figure.

• 80 cm²

• 72 cm²

• 52 cm²

• 42 cm²

Calculate the composite surface area of the square pyramid on top of the square prism.

• 8160 cm²

• 2400 cm²

• 3456 cm²

• 2304 cm²

What is the ratio of the volumes from larger to smaller. (HINT* Find the ratio of the side lengths first)

• 5/4

• 125/64

• 25/16

• 10/8

Find the volume of the larger solid given the information below.
V = 125 m³
V = ? m³

SA = 200 m²
SA = 288  m²

• 150

• 180

• 200

• 216

Circle B is a dilation of Circle A by point D. The area of Circle B is 900π. The area of circle A is 36π. What is the scale factor?

Mathematical Equivalence

ON

A beverage company manufactures and fills juice cans. They spend $0.09 on materials for each can and fill the can with $0.24 worth of juice.

The company wants to increase the size of the container and advertise it as the "Party Size". They approximate the cost of the materials for the new container to be $0.81. What will be the scale factor to use for the new contatiner?

• 9

• 3

• Not enough information.

Mathematical Equivalence

ON

A government agency is redesigning a satellite, or an object that goes in orbit around Earth. The surface of the satellite is covered with solar panels that supply the satellite with energy. The interior of the satellite is filled with scientific instruments. In the current design, the satellite has a surface area of 5.4 square feet and a volume of 1.2 cubic feet.

If the agency wants to increase the surface area to 48.6 square feet so the satellite can generate more energy, by what scale factor do they need to dilate the satellite? _