Similar Figures 3D

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

• the same

• squared

• cubed

• three times 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

Two spheres have a similarity ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  What is the surface area of the larger sphere.

• 48 ft²

• 144 ft²

• 432 ft²

• 32 ft²

What will the surface area of the smaller cone be? Enter a number only.

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 : 63

• 7 : 9

• 49 : 81

• 343 : 729

Some information about the surface area and volume of two similar solids has been given. Find the missing value.

• V = 11664 km³

• V = 90 km³

• V = 2304 km³

• V = 5184 km³

The scale factor of corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the larger can. _____________ cm²

Are the two figures similar?
(If yes, what is the similarity ratio?)

• Yes; 5

• Yes; 9:6

• Yes; 1/3

• No

Find the total surface area of the figure.

• 556 cm²

• 278 cm²

• 680 cm²

• 340 cm²

Find the Volume of the composite figure. Hint: What two 3D figures do you see?

• 2400 ft³

• 1920 ft³

• 4128 ft³

• 2112 ft³