Similar Solids and Changing Dimensions

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

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

If the volume of a right cylinder is 36π in³, and the height is 1, what is the diameter?

• 6 in

• 12 in

• 36 in

• 3 in

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

If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?

• 300

• 4.8

• 3

• 4

To the nearest whole number, what is the volume of a sphere with a diameter of 8 cm?

• 268 cm³

• 67 cm³

• 2,145 cm³

• 34 cm³

This solid is a...

• pyramid.

• prism.

• sphere.

• cone.