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Q3.W5.D5-Area and Volume of Similar Figures

Total questions: 8

Worksheet time: 40mins

Name
Class
Date
1.

The ratio of the volumes of two spheres is 64:27. What is the ratio of the length of the radii of these two spheres?

a)

4:3

b)

8:5

c)

64:9

d)

3:4

2.

The volume of the figure is 40 cubic centimeters. If each side is dilated by a scale factor of 1:2. What will be the volume of the new figure?

a)

20 cm³

b)


5cm35cm^3

c)

10cm310cm^3

d)

2.5 cm³

3.

Given the triangles are similar and the area of the larger triangle is 100, what is the area of the smaller triangle?

a)

200 units2

b)

6.25 units2

c)

25 units2

d)

12.75 units2

4.

Given the rectangles are similar and the area of the smaller is 8 ft2, what is the area of the larger rectangle?

a)

200 ft2

b)

120 ft2

c)

40 ft2

5.

Given the solids are similar and the smaller volume is 31,104 km3, what is the larger volume?

a)

17,773.7 km3

b)

166,698 km3

c)

54,432 km3

d)

5803.7 km3

6.

What is the scale factor of the two cylinders?

a)

3:8

b)

3:4

c)

2:4

d)

6:8

7.

The volume of the larger cone is 22.6 mi3, what is the smaller cone volume?

a)

5.65 mi3

b)

2.83 mi3

c)

11.3 mi3

d)

180.8 mi3

8.

The pyramids are similar. Find the volume of the red pyramid.

a)

21.3 in3

b)

12 in3

c)

3.8 in3

d)

16 in3