Similar 3-D Solids' Quiz

Given similar solids with surface areas of 400 m² and 25 m².

Match the following:

• 1/64

• Their Ratio of Volumes

• 1/4

• Their Ratio of Surface Areas

• 1/16

• Their Scale Factor

Two similar cubes have a scale factor of 2.

If the volume of the smaller cube is 27 cubic units,

what is the volume of the larger cube ?

• 64

• 100

• 216

• 54

A small cone has a radius of 3 cm and a height of 4 cm.

If a larger cone is similar to the small cone and their scale factor is 3,

then the radius of the larger cone = ___ cm

Two similar cylinders have a scale factor of 3.

If the volume of the smaller cylinder is 100π cubic units,

what is the volume of the larger cylinder = ___ un³.

• 900π

• 2700π

• 200π

• 5400π

A small sphere has a radius of 5 cm.

What's the radius of a larger sphere,

if they have a scale factor of 2 ?

• 10 cm

• 3 cm

• 25 cm

• 15 cm

Two similar rectangular prisms have a scale factor of 4.

If the volume of the smaller prism is 64 cubic units,

then the volume of the larger prism = ___ un³.

• 4096

• 512

• 1024

• 256

A small pyramid has a height of 6 cm and a base area of 16 square cm.

A larger pyramid is similar to the small pyramid with a scale factor of 3.

What is the height of the larger pyramid ?

• 18 cm

• 12 cm

• 24 cm

• 10 cm

Two similar cones have a scale factor of 5.

If the volume of the smaller cone is 50π cubic units,

what is the volume of the larger cone ?

• 250π

• 125π

• 750π

• 6250π

A small cylinder has a radius of 2 cm and a height of 8 cm.

A larger cylinder is similar to the small cylinder with a scale factor of 4.

The height of the larger cylinder = ___ .

• 16 cm

• 32 cm

• 24 cm

• 40 cm

Two spheres have a scale factor of 6.

If the volume of the larger sphere is 7776π cubic units,

then the volume of the smaller sphere = ___ un³.

• 36π

• 1296π

• 648π

• 216π