Surface Areas and Volumes of Prisms

Find the surface area of this solid

• 410 cm²

• 820 cm²

• 1200 cm²

• 700 cm²

Find the surface area of this solid (legs of triangle are 8ft and 15ft, distance between triangles is 10ft)

• 1200 ft²

• 600 ft²

• 520 ft²

• 350 ft²

Suppose the surface area of both prisms is changed so that the two figures are still similar and have the same scale factor. If the larger prism now has a surface area of 3000 square meters, find the surface area of the smaller prism.

• 1800

• 1080

• 8333.3

• 5000

A cylindrical carton of oatmeal with radius 3.5 inches is 9 inches tall. If all surfaces except the top are made of cardboard, how much cardboard is used to make the oatmeal carton? Assume no surfaces overlap. Round your answer to the nearest square inch.

• 275 in²

• 236 in²

• 198 in²

• 346 in²

The volume of a cylinder is 600πcm³. The radius of a base of the cylinder is 5 cm. What is the height of the cylinder?

• 60 cm

• 7 cm

• 120 cm

• 24 cm

What is the approximate volume of the lunch box shown at the right? Round to the nearest tenth of a cubic inch.

• 501 in³

• 643 in³

• 925 in³

• 487 in³

The cubes shown are similar. What is the ratio of their surface areas?

• 729 : 1331

• 81 : 121

• 9 : 11

What is the scale factor of two similar prisms with surface areas of 144 m² and 324 m²?

The surface areas of two similar paint cans are 1024 cm² and 400 cm². The volume of the smaller can is 1157 cm³. What is the volume of the larger can?

• 2961.92 cm³

• 1851.2 cm³

• 4739.07 cm³

• 19411.24 cm³

For these similar solids, find the ratio of the heights

• 2 : 5

• 4 : 25

• 8 : 125