Sets and Venn Diagrams Answers

A cube has an edge length of 9 centimeters.

The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.

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

The two triangular prisms shown are similar.

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?

The rectangular prisms shown are similar.

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?

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?