#6 Makeup Work_ Similar Solids.

#6 Makeup Work_ Similar Solids.

Multiple Choice

Find the scale factor of the side lengths of the figure on the left to the figure on the right. HINT: Find the simplified volume ratio first.

• 3/1

• 3240/120

• 27/1

• 1/3

Multiple Choice

The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?

• 1:16

• 1:8

• 1:4

• 1:2

Multiple Choice

If two similar rectangles have corresponding sides with a ratio of 2:3, what is the ratio of their areas?

• 4:6

• 4:9

• 2:3

• 8:27

Multiple Choice

The surface area of a certain prism is 1088 square km and its volume is 13312 cubic km. If a similar solid has a surface area of 425 square km, what is this similar solids volume?

• 3250 cubic km

• 5200 cubic km

• 1950 cubic km

• 8320 cubic km

Multiple Choice

The figures are similar. Solve for c.

• 11 yd

• 78 yd

• 81 yd

• 102 yd

Multiple Choice

The figures are similar. Solve for k.

• 275 in

• 279 in

• 282 in

• 284 in

Multiple Choice

The figures are similar. Solve for y.

• 4 ft

• 5 ft

• 6 ft

• 8 ft

Multiple Choice

Are the two figures similar?

(If yes, what is the similarity ratio?)

• Yes; 1.7

• Yes; 3/10

• Yes; 3/5

• No

Multiple Choice

The height (but not the base) of a triangle is doubled. Describe the effect on the area.

• The area is doubled

• The area is quadrupled

• The area is halved

Multiple Choice

Suppose the dimensions of a triangle with a perimeter of 18 units are doubled. Find the perimeter of the new triangle.

• 18
• 36
• 72
• 288

Multiple Choice

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

• Yes; 3
• Yes; 3/10
• Yes; 3/5
• No

Multiple Choice

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

• 100:9

• 10:3

• 500:13.5

• 100:2.7

Multiple Choice

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find the surface area of the larger sphere.

• 48 ft²
• 144 ft²
• 432 ft²
• 32 ft²

Multiple Choice

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

Multiple Choice

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27