Similar Solids and Changing Dimensions

The surface area of a figure is 496 meters squared. If the dimensions are multiplied by 1/2, what will be the surface area of the new figure?

• 248 meters squared

• 124 meters squared

• 62 meters squared

• 31 meters squared

The surface area of a figure is 248 km squared. If the dimensions are multiplied by 3/2, what will be the surface area of the new figure?

• 496 km squared

• 744 km squared

• 558 km squared

• 372 km squared

The volume of a figure is 975 ft cubed. If the dimensions are multiplied by 2/5, what will be the volume of the new figure?

• 195 ft cubed

• 62.4 ft cubed

• 156 ft cubed

• 39 ft cubed

Cylinder A is similar to Cylinder B. If the volume of Cylinder A is 39 cm cubed and the volume of Cylinder B is 4,875 cm cubed, how many times larger is Cylinder B than Cylinder A?

• 125 times larger

• 25 times larger

• 5 times larger

• 3 times larger

Pyramid A is similar to Pyramid B. If the surface area of Pyramid A is 1,568 m squared and the surface area of Pyramid B is 32 m squared, how many times smaller is Pyramid B than Pyramid A?

• 49 times smaller

• 7 times smaller

• 2.65 times smaller

• 1536 times smaller

How many times larger is the surface area of a cube if the side length is tripled?

• 9 times larger

• 6 times larger

• 3 times larger

• 27 times larger

How many times larger is the volume of a cone if the height is doubled?

• 2 times larger

• 4 times larger

• 6 times larger

• 8 times larger

How many times smaller is the volume of a cylinder if the diameter is multiplied by 1/2?

• 2 times smaller

• 4 times smaller

• 6 times smaller

• 8 times smaller

Hw many times smaller is the surface area of a sphere if the radius is multiplied by 1/4?

• 4 times smaller

• 8 times smaller

• 16 times smaller

• 32 times smaller

Prism A is similar to Prism B. The ration of the surface area of Prism A to Prism B is 81:4. Find the volume of Prism A to Prism B.

• 9:2

• 81:4

• 27:6

• 729:8