Free Printable Geometry Unit 9 -- Lateral Area, Surface Area & Volume

1.

The slant height of the cone is _______

a)

$\overline{DE}$

b)

$\overline{DG}$

c)

$\overline{FE}$

d)

$\overline{GF}$

2.

Find the height (h) of this cone

a)

5.0 m

b)

5.3 m

c)

5.7 m

d)

6.0 m

3.

Find the lateral area of the cone, rounded to the nearest tenth.

a)

203.4 m²

b)

37.7 m²

c)

50 m²

d)

150 m²

4.

Find the lateral area of the figure. The diameter is 20 meters. Round your answer to the nearest integer.

a)

456 m²

b)

1444 m²

c)

1245 m²

d)

817 m²

5.

What is the lateral area of the square pyramid?

a)

384 cm²

b)

256 cm²

c)

640 cm²

d)

28 cm²

6.

Find the lateral area of the figure formed by the rectangular prism net with 2 cm , 3 cm, and 4 cm edges in the figure.

a)

28 cm²

b)

36 cm²

c)

40 cm²

d)

50 cm ²

7.

Find the surface area of the rectangular prism.

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

8.

What is the surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

9.

Find the surface area of the cone.

a)

502.65 cm²

b)

201.06 cm²

c)

150.8 cm²

d)

301.59 cm²

10.

Find the surface area of the square pyramid.

a)

15m²

b)

16m²

c)

18m²

d)

20m²

11.

If the sides of a cube are multiplied by 5, how does the SURFACE area change?

a)

Multiplied by 5

b)

Multiplied by 10

c)

Multiplied by 25

d)

No change

12.

If the radius of a sphere is multiplied by a half, how does the SURFACE area change?

a)

Multiplied by 0.5

b)

Multiplied by 0.25

c)

Multiplied by 2

d)

Multiplied by 0.125

13.

If the side lengths of a cube are doubled, how does the volume change?

a)

Multiplied by 2

b)

Multiplied by 4

c)

Multiplied by 6

d)

Multiplied by 8

14.

In a rectangular prism, if the height is multiplied by 2, the length is tripled, and the height is multiplied by 5, how will the volume change?

a)

Multiplied by 10

b)

Multiplied by 25

c)

Multiplied by 30

d)

Multiplied by 6

15.

If the sides of a cube are tripled, how does the volume change?

a)

Multiplied by 3

b)

Multiplied by 9

c)

Multiplied by 27

d)

Multiplied by 6

16.

How many cubic inches are in one cubic foot?

a)

12

b)

144

c)

27

d)

1728

17.

How many cubic feet are in one cubic yard?

a)

3

b)

9

c)

12

d)

27

18.

A prism has a volume of 15,250 in³. How many cubic feet is this?

a)

About 8.8 cubit feet

b)

About 105.9 cubic feet

c)

About 1270.8 cubic feet

d)

About 564.8 cubic feet

19.

A cube has a volume of 9938.375 cubic units. What is the length of a side?

a)

21.5 units

b)

3312.79 units

c)

99.69 units

d)

40.69 units

20.

A cube has a volume of 2744 cubic units. What's the length of one side?

a)

14 units

b)

914.67 units

c)

52.38 units

d)

28 units

21.

A cube has a volume of 7414.875 cubic units. What is the surface area?

a)

117 units squared

b)

380.25 units squared

c)

2281.5 units squared

d)

2471.63 units squared

22.

What is the surface area of the figure, given the volume of the cube is 27 cubic units.

a)

64 cm²

b)

54 cm²

c)

36 cm²

d)

324 cm²

23.

Soda is sold in aluminum cans that measure
4.83 inches in height and 2.6 inches in diameter. What is the volume?

a)

25.63 in ³

b)

26 in ³

c)

19.73 in ³

d)

95.28 in 3

24.

Find the volume of the triangular prism.

a)

27 cm³

b)

72 cm³

c)

180 cm³

d)

360 cm³

25.

Find the volume of the cone.

a)

83.73 cm³

b)

50.24 cm³

c)

20.93 cm³

d)

12.56 cm³

26.

Find the volume of the cone to the nearest hundredth.

a)

2,144.66 m³

b)

1,608.49 m³

c)

536.17 m³

d)

498.62 m³

27.

Find the volume of the rectangular pyramid.

a)

V = 1800 mm³

b)

V = 600 mm³

c)

V = 900 mm³

d)

V = 1200 mm³

28.

Find the surface area of the sphere, given the diameter is 8.4 cm. Round answer to the nearest tenth.

a)

221.7 cm²

b)

70.6 cm³

c)

17.6 cm³

d)

886.2 cm²

29.

Find the volume of the sphere. Round your answers to the nearest tenth.

a)

905.23 ft³

b)

7,241.90 ft³

c)

150.80 ft³

d)

650.55 ft³

30.

If the radius of a sphere is multiplied by four, how does the volume change?

a)

Multiplied by 4

b)

Multiplied by 12

c)

Multiplied by 16

d)

Multiplied by 64

31.

A sphere has a volume of 600 cubic feet. How many cubic yards is this? Round to the nearest hundredth.

a)

200 cubic yards

b)

66.67 cubic yards

c)

22.22 cubic yards

d)

0.35 cubic yards

32.

Find the Volume

a)

72 cubic cm

b)

24 cubic cm

c)

576 cubic cm

d)

48 cubic cm

33.

What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.

a)

4825.5 ft³

b)

1206.4 ft³

34.

Find the volume of the following shape.

(What two solids are being added together??)

a)

4155.27 m³

b)

1038.82 m³

c)

804.24 m³

d)

1005.31 m³

35.

Find the volume of the composite figure.

a)

$616\ ft^3$

b)

$224\ ft^3$

c)

$210\ ft^3$

d)

$630\ ft^3$

36.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

37.

Find the product: $\left(y+4\right)^{3\ }$

a)

$y^3+64$

b)

$y^2+8y+16$

c)

$y^3+12y^2+48y+64$

d)

$y^3+4y^2+16y+64$

38.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

39.

Multiply:

(y + 9)²

a)

y² +18y + 81

b)

y² + 81

c)

y + 9

d)

y² +18y + 18

40.

Find

$(𝑥^3-x+1)\ -\ (3x-1)$

a)

$3x^3-1$

b)

$x^3-4x$

c)

$x^3-4x+2$

d)

$x^3+2x+2$

41.

$(5a+2b)^2\ =\ 25a^2+20ab+4b^2$

a)

TRUE

b)

FALSE

Geometry Unit 9 -- Lateral Area, Surface Area & Volume

Total questions: 41

Worksheet time: 7hrs 50mins

Similar Resources on Wayground