Unit Test Answers

The two triangular prisms shown are similar.

The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2.What is the surface area of the smaller solid?

The volume of a triangular prism is increased by a factor of 8.By what factor is the surface area of the figure increased?

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units. The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

The radius of the large sphere is three times longer than the radius of the small sphere.

Two spheres have volumes of 8π cm3 and 64π cm3. If the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere?

A square pyramid has a base side length of 20.4 cm and a height of 18.2 cm. Which square pyramid is similar?

A box in the shape of a rectangular prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6 inches on each side. If the length and width of the base are doubled, how many cubes could the new box hold?

Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. The surface area of the larger pyramid is 56 cm2.What is the surface area of the smaller pyramid?

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?