Scaling Solids

Are these figures similar? If so, what is the scale factor?

• No

• Yes, 3

• Yes, 2.5

• Yes, 5

Given the information find the scale factor

• pi

• 5

• 25

• 0.04

Given the information find the scale factor

• 5.2

• .03

• 27

• 3

Find the missing info

• 1216

• 118750

• 7600

• 3040

How does the volume of a solid change if all its dimensions are doubled?

• The volume of the solid remains the same.

• The volume of the solid increases by a factor of 8.

• The volume of the solid increases by a factor of 4.

• The volume of the solid decreases by a factor of 2.

If the side length of a cube is tripled, how does the volume change?

• The volume increases by a factor of 6.

• The volume decreases by a factor of 9.

• The volume remains the same.

• The volume increases by a factor of 27.

Discuss the relationship between the surface area and volume of a solid when scaled.

• The surface area decreases while the volume increases when scaled

• The surface area increases while the volume decreases when scaled

• The surface area and volume have no relationship when scaled

• The relationship between the surface area and volume of a solid when scaled is that they are both scaled by the square of the scaling factor, maintaining a constant ratio.

If the radius of a sphere is halved, how does the volume change?

• The volume decreases by a factor of 4.

• The volume decreases by a factor of 8.

• The volume increases by a factor of 2.

• The volume remains the same.

How does scaling affect the surface area of a rectangular prism?

• The surface area is divided by the scale factor.

• The surface area is subtracted by the scale factor.

• The surface area is multiplied by the square of the scale factor.

• The surface area remains constant regardless of the scale factor.

Explain how scaling affects the ratio of surface area to volume in solids.

• Scaling increases the ratio of surface area to volume in solids

• Scaling has no effect on the ratio of surface area to volume in solids

• Scaling decreases the volume of solids without affecting the surface area

• Scaling affects the ratio of surface area to volume in solids by decreasing the ratio as the solid is scaled up.