Lesson 6: Changing Dimensions of 3-D Figures Answers

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?

A cube has an edge length of 9 centimeters.

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 triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is 10.2 centimeters. Which triangular prism is similar to the described prism?

The rectangular 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?

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 two triangular prisms shown are similar.

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.

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?