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Change Dimension Volume

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.

If any one dimension of a rectangular prism (length, width, or height) changes size, the _________ of the rectangular prism changes by the same scale factor.

a)

surface area

b)

other dimensions

c)

radius

d)

volume

2.

Both the width and the volume of a rectangular prism change by a scale factor of 4.  If the old width was 5 ft and the old volume was 250 cubic ft, what is the new width and volume?

a)

20 ft. and 1,000 cubic ft.

b)

1.25 ft. and 62.05 cubic ft.

c)

20 cubic ft and 1,000 ft.

d)

625 ft and 3,906,250,000 cubic ft

3.

The height of a rectangular prism was 6 ft and the volume was 399 cubic ft.  The height changed to 3 ft.  What is the new volume?

a)

798 cubic ft.

b)

199.5 square ft.

c)

798 square ft.

d)

199.5 cubic ft.

4.

The length of a rectangular prism is 4 inches and the volume is 220 cubic inches.  If the length changes so that the volume becomes 440 cubic inches, what is the new length?

a)

8 square inches

b)

8 inches

c)

2 square inches

d)

2 inches

5.

This shape has a length of 12 units and a width of 10 units. If the volume of this shape is 960 units3. What is the height?

a)

9 units

b)

9 units3

c)

8 units

d)

8 units3

6.

The volume of a rectangular prism changes from 1,250 cubic inches to 125 cubic inches.  What is the scale factor of the change?

a)

1/2

b)

1/10

c)

10

d)

1/5

7.

The width of a rectangular prism is 12 cm and the volume is 180 cubic cm.  Both change by a scale factor of 1/12.  What is the new width and the new volume?

a)

144 cm and 2,160 cubic cm

b)

1 cm and 15 cubic cm

c)

2 cm and 30 cubic cm

d)

1 square cm and 15 cubic cm

8.

The length of a rectangular prism changes from 6 feet to 18 feet.  What is the scale factor of the change?

a)

1/3

b)

3

c)

2

d)

.3

9.

The height of a rectangular prism is 20 ft and its volume is 328 cubic ft.  If the height is reduced to 5 ft, what is the new volume?

a)

82 square ft

b)

1,312 cubic ft

c)

82 cubic ft

d)

1,312 square ft

10.

Find the volume of the figure.

a)

126 cm3

b)

907.5 cm3

c)

605 cm3

d)

55 cm3

11.

Find the volume of the figure. Round to the nearest Hundredth.

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

12.

The volume of a rectangular prism is 80 in3.  If its width is divided by 2 to make a new prism, then the new volume will be _______.

a)

80 in3

b)

40 in3

c)

20 in3

d)

10 in3

13.

This shape has a length of 10 mm and a width of 8 mm. If the volume of this shape is 320 mm3. What is the height?

a)

4 mm

b)

4 mm3

c)

3 mm

d)

3 mm3

14.

This shape has a length of 8 in and a width of 5 in. If the volume of this shape is 160 in3. What is the height?

a)

4 in3

b)

4 in

c)

5 in

d)

5 in3

15.

This shape has a length of 8 cm and a width of 4 cm. If the volume of this shape is 160 cm3. What is the height?

a)

4 cm3

b)

4 cm

c)

5 cm

d)

5 cm3

16.

This shape has a length of 5 units and a width of 3 units. If the volume of this shape is 30 units3. What is the height or x?

a)

3 units3

b)

3 units

c)

2 units3

d)

2 units

17.

Ms. Oliver has a fish tank. The length of her fish tank is 14 feet. The width of the fish tank is 9 feet. The volume of the fish tank is 504 feet3. What is the height of her fish tank?

a)

6 feet

b)

6 feet3

c)

4 feet

d)

4 feet3

18.

Sally has a box with a length of 8 inches and a width of 7 inches. Sally knows her box has a volume of 280 inches3. What is the height of her box?

a)

5 inches

b)

5 inches3

c)

4 inches

d)

4 inches3

19.

If Olivia knows the volume of a rectangular prism is 192 m3 and the area of the base is 24 m2. What is the height of the rectangular prism?

a)

6 m

b)

6 m2

c)

6 m3

d)

8 m