Similar 3D Figures

If the scale factor of the height of two similar bottles is 1:2, how much can the bigger bottle hold, if the smaller bottle can hold 12 oz?

• 24

• 48

• 36

• 27

If two figures are similar, their volume ratio is ...?

• the same

• squared

• cubed

• three times as much

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

• 1 : 10

• 40 : 1

• 4 : 25

• 2 : 5

The two figures are similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.

• 2:9, 4:81, 8:729

• 2:9, 4:9, 4:81

• 2:9, 4:81, 14:6561

• 2:9, 8:729, 4:81

The two figures are similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.

• 9:2, 9:1, 27:2

• 9:11, 729:121, 81:1331

• 9:2, 9:1, 81:4

• 9:2, 81:4, 729:8

Calculate the composite surface area of the square pyramid on top of the square prism.

• 8160 cm²

• 2400 cm²

• 3456 cm²

• 2304 cm²

If two figures are similar, their area ratio is ...?

• the same

• squared

• cubed

• twice as much

If the side lengths are tripled, then which of the following statements about its surface area will be true?

• The new surface area will be 3 times larger

• The new surface area will be 9 times larger

• The new surface area will be 10 times larger

• The new surface area will be 27 times larger

If the side lengths are tripled, then which of the following statements about its volume will be true?

• The new volume will be 3 times larger

• The new volume will be 9 times larger

• The new volume will be 10 times larger

• The new volume will be 27 times larger