Free Printable Volume Review

1.

What is the volume of this composite figure?

NOTE: The 16ft is the diameter!

a)

4825.5 ft³

b)

1206.4 ft³

c)

402.1 ft³

d)

3521.8 ft³

e)

2010.6 ft³

2.

What is the volume of this composite figure?

a)

512 cm³

b)

798.08 cm³

c)

646.04 cm³

d)

584.82 cm³

e)

780.08 cm³

3.

Find the volume of the roll of duct tape.

HINT: This is not 2 shapes added together.

This time, a figure has been REMOVED.

a)

7.2 cm³

b)

9.4 cm³

c)

15.3 cm³

d)

21.6 cm³

e)

37.7 cm³

4.

What is the volume of this figure?

a)

$24.6\ yd^3$

b)

$12.75\ yd^3$

c)

$27.5\ yd^3$

d)

$25.5\ yd^3$

e)

35.0 yd³

5.

You have a globe that has a radius of 11 inches. Find the volume of your globe.

Round your answer to the nearest whole number.

a)

523 in³

b)

16,717 in³

c)

5,575 in³

d)

7,235 in³

e)

2788 in³

6.

Find the volume.

a)

882 m³

b)

588 m³

c)

84 m³

d)

294 m³

e)

3087 m³

7.

Find the volume of the cylinder.

Leave your answer in terms of π.

a)

9π in³

b)

90π in³

c)

19π in³

d)

30π in³

e)

15π in³

8.

Calculate volume.

Leave your answer in terms of pi.

a)

792π m³

b)

552π m³

c)

92π m³

d)

264π m³

e)

184π m³

9.

Find the volume of the prism.

a)

27 cm³

b)

72 cm³

c)

180 cm³

d)

360 cm³

e)

90 cm³

10.

Given a cube has a volume of $1728in^3$ , what is its side length?

a)

12 in

b)

9 in

c)

14 in

d)

11 in

e)

16 in

11.

Calculate the height of a rectangular prism with a length of 5 cm, a width of 3 cm, and a volume of 30 cm³.

a)

2 cm

b)

450 cm²

c)

15 cm

d)

3 cm

e)

4 cm

12.

Find the volume of the composite figure.

a)

$616\ ft^3$

b)

$224\ ft^3$

c)

$210\ ft^3$

d)

$630\ ft^3$

e)

840 ft³

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) mm

14.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

e)

1815 cm³

15.

Find the volume of the following cone.

a)

489.8 m³

b)

2205.4 m³

c)

6612.8 m³

d)

244.9 m³

e)

3308.1 m³

16.

Find the volume of the solid shown in the figure.

a)

120π m³

b)

1440π m³

c)

360π m³

d)

240π m³

e)

60π m³

17.

A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter.

a)

216 cm³

b)

25 cm³

c)

100 cm³

d)

191 cm³

e)

115 cm³

18.

Find the volume of the figure.

a)

1,800 cm³

b)

900 cm³

c)

600 cm³

d)

750 cm³

e)

60 cm³

19.

When the radius is doubled, which of the following happens to the volume?

a)

The volume gets twice as big.

b)

The volume gets four times as big.

c)

The volume gets eight times as big.

d)

The volume stays the same.

e)

The volume gets three times as big.

20.

If r=10, what is the volume of the cylinder?

a)

10*10*10π un³

b)

20*10*10π

c)

(4*10*10*10*π)/3

d)

10*20*20*π

e)

20*20*20*π

21.

The scale factor between two similar prisms is 3. The smaller prism has a volume of 16 ft³_.

Find the volume of the larger prism.

a)

48 ft²

b)

144 ft³

c)

432 ft³

d)

32 ft³

e)

768 ft³

22.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

108 km³

b)

324 km³

c)

216 km³

d)

648 km³

23.

A cone has a volume of 12π, and a radius of 2, what is the height?

a)

9

b)

12

c)

2

d)

3

e)

6

24.

Given AB = 20 and EG = 16

Find the altitude height (EF)

Round to the nearest tenth.

(a)

25.

Lea made two candles in the shape of rectangular prisms. The first candle is 15 cm high, 8 cm long, and 8 cm wide. The second candle is 5 cm higher, but has the same length and width. How much additional wax is needed to make the taller candle?

a)

320 cm³

b)

640 cm³

c)

960 cm³

d)

1280 cm³

e)

160 cm³

26.

How much grain could fit in this silo?

Round your answer to the nearest cubic meter.

a)

810 m³

b)

733 m³

c)

581 m³

d)

177 m³

e)

995 m³

27.

Find the volume of the treasure chest.

Round to the nearest whole mm³.

a)

700 mm³

b)

817 mm³

c)

350 mm³

d)

944 mm³

e)

3075 mm³

28.

A cylinder has a volume of 12π cubic cm. A larger, similar cylinder has a volume of 6144π cubic cm.

What is the scale factor (k)?

a)

8

b)

4

c)

12

d)

24

e)

16

29.

Three tennis balls are sold in a cylindrical container as shown. The cylinder has the same diameter as the tennis balls, 5.4 in. The height of the container is equal to the length of three tennis balls arranged in a line. What is the volume of the empty space of the cylinder?

a)

$35.5\pi\ in^3$

b)

$10\pi\ in^3$

c)

$45\pi\ in^3$

d)

$39.3\pi\ in^3$

e)

$40.2\pi\ in^3$

30.

What scale factor would be used to dilate the smaller pyramid to the larger pyramid?

(a)

31.

The two boxes are similar. The volume of the small box is 500 cm³.

Find the volume of the larger box.

V = (a) cm³

32.

What would be the appropriate volume for the larger pyramid?

a)

8 yd³

b)

2 yd³

c)

4 yd³

d)

16 yd³

e)

3 yd³

33.

What is the volume of the larger solid?

(a) cm³

34.

The solids are similar.

Find the missing dimension.

a)

5 ft

b)

0.5 ft

c)

12 ft

d)

1.3 ft

e)

0.8 ft

35.

The solids are similar.

Find the measure of side h.

a)

18 m

b)

12 m

c)

24 m

d)

32 m

e)

256 m

36.

The solids are similar.

Find the measure of side l.

a)

2 m

b)

1 m

c)

1.3 m

d)

3 m

e)

0.8 m

37.

Allison has a hexagonal aquarium that is 22 inches tall. The area of the base is 356 square inches. She puts 3 inches of gravel in the bottom of the tank, and fills the tank with water until it reaches 2 inches from the top of the aquarium. What is the volume of water in the tank?

a)

6052 in³

b)

7832 in³

c)

7120 in³

d)

6764 in³

e)

6816 cm³

38.

The PE department has a ball cage that has a volume of 24 cubic feet. Convert the volume into cubic inches.

a)

$864\ in^3$

b)

$288\ in^3$

c)

$13824\ in^3$

d)

$41472\ in^3$

e)

$31104\ in^3$

39.

A cone is placed inside a cylinder. The two figures have the same base area and the same height. What is the volume of the cylinder that is not taken up by the cone?

a)

$120\pi\ in^3$

b)

$100\pi\ in^3$

c)

$75\pi\ in^3$

d)

$150\pi\ in^3$

e)

$50\pi\ in^3$

40.

The volume of a prism is 80 in³. If each edge 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

e)

13.3 in³

41.

A model of a backyard cylindrical pool has a volume of $1620\pi$ cubic inches. If all of the dimensions of the real pool are 10 times larger than the model, what will the volume of the real pool be?

a)

$1620000\pi$ cubic inches

b)

$162000\pi$ cubic inches

c)

$1000\pi$ cubic inches

d)

$16200\pi$ cubic inches

e)

$4860\pi$ cubic inches

42.

Describe the cross section.

a)

rectangle

b)

trapezoid

c)

ellipse

d)

parallelogram

e)

parabola

43.

Describe the cross section.

a)

trapezoid

b)

triangle

c)

rectangle

d)

square

e)

ellipse

44.

What would result from slicing a rectangular based pyramid perpendicular to the base?

a)

Circle

b)

Square

c)

Rectangle

d)

Triangle

e)

Trapezoid

45.

What would result from slicing a rectangular pyramid parallel to the base?

a)

Circle

b)

Square

c)

Rectangle

d)

Triangle

e)

Trapezoid

46.

What shape will the angled cross-section of a rectangular pyramid be?

a)

Triangle

b)

Rectangle

c)

Trapezoid

d)

Square

e)

Parabola

47.

A two-dimensional cross section is taken of a three-dimensional object. If this cross section is a triangle, what can not be the three-dimensional object?

a)

b)

c)

d)

48.

A hexagonal prism is shown below. A two-dimensional cross section that is perpendicular to the base is taken from the prism.

Which figure describes the two-dimensional cross section?

a)

triangle

b)

rectangle

c)

pentagon

d)

hexagon

e)

trapezoid

49.

A cylinder is cut perpendicular to its base. The shape of the cross section is a

a)

circle

b)

cylinder

c)

rectangle

d)

triangular prism

e)

ellipse

50.

William is drawing pictures of cross sections of a cone.

Which drawing can not be a cross section of a cone?

a)

b)

c)

d)

51.

Rotating this rectangle around line BD create a cylinder with:

a)

height 15 and radius 8

b)

height 15 and radius 4

c)

height 8 and radius 15

d)

height 8 and radius 7.5

e)

height 4 and radius 15

52.

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

a)

b)

c)

d)

53.

Which 3-D solid is created when the rectangle is rotated about the horizontal line?

a)

b)

c)

d)

54.

The volume of this hexagonal prism is 16000 cubic inches.

Convert this volume into cubic feet.

a)

$9.3\ ft^3$

b)

$1333.3\ ft^3$

c)

$192000\ ft^3$

d)

$27648000\ ft^3$

e)

$444.4\ ft^3$

55.

What is the volume formed by rotating this triangle about the vertical axis?

a)

$100\pi\ cm^3$

b)

$300\pi\ cm^3$

c)

$240\pi\ cm^3$

d)

$720\pi\ cm^3$

e)

$30\pi\ cm^3$

56.

if this triangle is rotated about the x axis, what is the volume of the solid that would be formed?

a)

$18\pi\ un^3$

b)

$54\pi\ un^3$

c)

$108\pi\ un^3$

d)

$36\pi\ un^3$

e)

$9\pi\ un^3$

57.

The laundry basket is in the shape of a cylinder. It has a radius of 1.6 feet.

The volume is 22.5 cubic feet.

How tall is the laundry basket?

____ feet

a)

2.8 ft.

b)

1.4 ft

c)

8.8 ft.

d)

3.4 ft

e)

4.8 ft

58.

If you multiply each dimension by 6, then what is the effect on the volume?

a)

The volume is multiplied by 36.

b)

The volume stays the same.

c)

The volume is multiplied by 6.

d)

The volume is multiplied by 216.

e)

The volume is multiplied by 18.

59.

The volume of this teepee is 513 cubic feet.

Convert to cubic inches.

a)

6156 cubic inches

b)

886464 cubic inches

c)

18468 cubic inches

d)

147744 cubic inches

e)

135005697 cubic inches

60.

Find the height of this cone.

a)

28.3 cm

b)

22.4 cm

c)

10 cm

d)

30 cm

e)

27.5 cm

Volume Review

Total questions: 60

Worksheet time: 3hrs 36mins

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