Pretest Answers

The surface area of a rectangular prism is increased by a factor of 16. By what factor is the volume of the figure increased?

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

A rectangular prism has a length of 4 point 2 cm, a width of 5 point 8 cm, and a height of 9 point 6 cm. A similar prism has a length of 14 point 7 cm, a width of 20 point 3 cm, and a height of 33 point 6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?

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 spheres have volumes of 8 pi cm cubed and 64 pi cm cubed If the surface area of the smaller sphere is 16 pi cm squared , what is the surface area of the larger sphere?

A triangular prism has an equilateral base with each side of the triangle measuring 8 point 4 centimeters. The height of the prism is 10 point 2 centimeters. Which triangular prism is similar to the described prism?

Two similar pyramids have base areas of 12 point 2 cm squared and 16 cm squared The surface area of the larger pyramid is 56 cm squared What is the surface area of the smaller pyramid?

A square pyramid has a base side length of 20 point 4 cm and a height of 18 point 2 cm. Which square pyramid is similar?