Free Printable 6a3.4 Study Guide - Volume and Surface Area

1.

The volume of a shipping box in the shape of a right rectangular prism is 503.75 cubic inches. The height of the prism is 15.5 inches and the length of the prism is 6.5 inches. What is the width (in inches) of the shipping box?

(a)

2.

What is the volume, in cubic inches, of the right rectangular prism?

a)

$40\frac{2}{3}in^3$

b)

$36\ in^3$

c)

$52\frac{1}{6}in^3$

d)

$56\ in^3$

3.

John has 360 sugar cubes, with dimensions in inches shown in the picture. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. What is the volume, in cubic inches, of the sugar cube and the larger rectangular prism?

a)

The volume of the sugar cube is $\frac{1}{8}in^3$ and the volume of the larger rectangular prism is $45\ in^3$

b)

The volume of the sugar cube is $\frac{1}{4}in^3$ and the volume of the larger rectangular prism is $90\ in^3$

c)

The volume of the sugar cube is $\frac{1}{6}in^3$ and the volume of the larger rectangular prism is $60\ in^3$

d)

The volume of the sugar cube is $\frac{1}{2}in^3$ and the volume of the larger rectangular prism is $180\ in^3$

4.

John has 360 sugar cubes, with dimensions in inches shown in the picture. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. What is a possible set of dimensions, in inches, of the larger rectangular prism?

a)

5 in, 5 in, 3 in

b)

5 in, 3 in, 3 in

c)

2 in, 5 in, 4 in

d)

1 in, 15 in, 5 in

5.

The floor of a fish tank is 98.61 square cm. What is the volume of the storage space in cubic cm if the fish tank is 42 cm high?

a)

140.61 cubic cm

b)

4,141.62 cubic cm

c)

11,390.38 cubic cm

d)

173,948.04 cubic cm

6.

What is the surface area of the prism?

a)

140 in.²

b)

83 in.²

c)

166 in.²

d)

100 in.²

7.

Shiena is designing a wooden toy box for her cousin. She drew a model of the box here. How much wood would Shiena need to make a box with these dimensions?

a)

$2002.35\ in^2$

b)

$4004.7\ in^2$

c)

$15280.65\ in^3$

d)

$30,561.3\ in^3$

8.

The net of a rectangular pyramid is shown. What is the surface area of the rectangular pyramid?

a)

236.9 square units

b)

398.03 square units

c)

471.6 square units

d)

430.1 square units

9.

Tanner is creating a model of the Great Pyramid for a project. The base is a square with a side length of 6.39 inches and the height of the pyramid is 8.5 inches. The slant height of each triangular face is 8.98 inches. Label the net with the proper dimensions.

a)

6.39 in

b)

8.5 in

c)

8.98 in

1

2

1)

2)

10.

Tanner is creating a model of the Great Pyramid for a project. The base is a square with a side length of 6.39 inches and the height of the pyramid is 8.5 inches. The slant height of each triangular face is 8.98 inches. What is the surface area of Tanner's model pyramid?

a)

$149.4621\ in^2$

b)

$88.4093\ in^2$

c)

$155.5965\ in^2$

d)

$40.8321\ in^2$

11.

Volume = 5116320 cm³Solve for X

(a)

12.

What is the volume?

(a)

13.

Select the three possible dimensions for a rectangular prism with a volume of 525 cubic inches.

a)

3

b)

6

c)

7

d)

16

e)

25

14.

The base of a fish tank has an area of 105 square inches. The height of the fish tank is 21 inches. What is the volume?

(a)

15.

What is the surface area of this figure?

(a)

16.

How many square inches of wrapping paper will Aunt Sally need to wrap the box?

(a)

17.

What is the surface area of the rectangular pyramid whose net is shown?

(a)

18.

Find the surface area of the square pyramid.

(a)

19.

The volume of a shipping box in the shape of a right rectangular prism is 803.25 cubic inches. The height of the prism is 13.5 inches and the length of the prism is 8.5 inches. What is the width (in inches) of the shipping box?

(a)

20.

What is the volume, in cubic inches, of the right rectangular prism?

a)

$145\frac{1}{2}\ in^3$

b)

$175\frac{1}{2}\ in^3$

c)

$162.5\ in^3$

d)

$162\ in^3$

21.

John has 960 sugar cubes, with dimensions in inches shown in the picture. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. What is the volume, in cubic inches, of the sugar cube and the larger rectangular prism?

a)

The volume of the sugar cube is $\frac{1}{64}\ in^3$ and the volume of the larger rectangular prism is $15\ in^3$

b)

The volume of the sugar cube is $\frac{1}{16}\ in^3$ and the volume of the larger rectangular prism is $60\ in^3$

c)

The volume of the sugar cube is $\frac{1}{12}\ in^3$ and the volume of the larger rectangular prism is $80\ in^3$

d)

The volume of the sugar cube is $\frac{1}{4}\ in^3$ and the volume of the larger rectangular prism is $240\ in^3$

22.

John has 960 sugar cubes, with dimensions in inches shown in the picture. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. What is a possible set of dimensions, in inches, of the larger rectangular prism?

a)

5 in, 3 in, 3 in

b)

5 in, 1 in, 3 in

c)

2 in, 5 in, 4 in

d)

1 in, 15 in, 3 in

23.

The floor of a fish tank is 87.31 square cm. What is the volume of the storage space in cubic cm if the fish tank is 39 cm high?

a)

126.31 cubic cm

b)

3,405.09 cubic cm

c)

12,694.98 cubic cm

d)

132,798.51 cubic cm

24.

What is the surface area of the prism?

a)

132 in.²

b)

288 in.²

c)

312 in.²

d)

144 in.²

25.

Shiena is designing a wooden toy box for her cousin. She drew a model of the box here. How much wood would Shiena need to make a box with these dimensions?

a)

$2209.9\ in^2$

b)

$4419.8\ in^2$

c)

$16137.6\ in^3$

d)

$32,275.2\ in^3$

26.

The net of a rectangular pyramid is shown. What is the surface area of the rectangular pyramid?

a)

37 square units

b)

24 square units

c)

43 square units

d)

27 square units

27.

Tanner is creating a model of the Great Pyramid for a project. The base is a square with a side length of 5.87 inches and the height of the pyramid is 6.49 inches. The slant height of each triangular face is 7.22 inches. Label the net with the proper dimensions.

a)

7.22 in

b)

6.49 in

c)

5.87 in

1

2

1)

2)

28.

Tanner is creating a model of the Great Pyramid for a project. The base is a square with a side length of 5.87 inches and the height of the pyramid is 6.49 inches. The slant height of each triangular face is 7.22 inches. What is the surface area of Tanner's model pyramid?

a)

$159.9021\ in^2$

b)

$88.4093\ in^2$

c)

$119.2197\ in^2$

d)

$49.8321\ in^2$

29.

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

30.

a)

546 m3

b)

456 m3

c)

654 m3

d)

54 m3

31.

What is the volume of this prism?

(do not include units)

32.

How many square inches of cardboard are needed to make this cereal box?

(do not include units)

33.

What is surface area?

a)

The measure of the amount of space inside of a solid figure

b)

The sum of all the areas of all the shapes that cover the object

34.

Find the volume of the figure.

a)

63 cm³

b)

91 cm³

c)

819 cm³

d)

409.5 cm³

35.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

36.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

37.

Find the total surface area of the prism.

a)

48 square inches

b)

64 square inches

c)

88 square inches

d)

76 square inches

38.

Find the surface area of the rectangular prism.

a)

140 in.²

b)

83 in.²

c)

166 in. ²

d)

100 in.²

39.

What is the Surface Area?

a)

101.94

b)

110.94

c)

110.49

d)

101.49

40.

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Square Pyramid

d)

Square Prism

41.

A square pyramid is covered with decorative wrapping paper with no overlap. The net of the box is shown on the right. How many square centimeters of wrapping paper are needed to cover the surfaces of the box?

a)

108 cm²

b)

324 cm²

c)

180 cm²

d)

432 cm²

42.

a)

A

b)

B

c)

C

d)

D

43.

What is the total surface area of the rectangular pyramid whose net is shown?

a)

400 in²

b)

800 in²

c)

1,200 in²

d)

1,600 in²

44.

What is the surface are if you were to wrap this square pyramid?

a)

23 sq. meters

b)

27 sq. meters

c)

33 sq. meters

d)

36 sq. meters

45.

What is the surface area of the pyramid?

a)

24 cm ²

b)

84 cm ²

c)

112 cm ²

d)

64 cm ²

46.

What is the surface area of the cube?

a)

12 cm²

b)

36 cm²

c)

24 cm²

d)

64 cm²

47.

Which 3-D figures will this net make?

a)

square pyramid

b)

cube

c)

hexagonal cube

d)

square

48.

Which 3-D figure will this net make?

a)

Cone

b)

Triangular Prism

c)

Square Pyramid

d)

Cube

49.

What is the surface area of the cube?

a)

12

b)

64

c)

96

d)

384

50.

A flat "unfolded" representation of a prism or pyramid.

a)

Surface Area

b)

Net

c)

Base

d)

3-Dimensional

51.

What is the surface area?

(a) feet squared

52.

What is the surface area?

(a) feet squared

53.

What is the surface area?

(a) meters squared

54.

What is the surface area?

(a) centimeters squared

55.

What is the surface area?

(a) centimeters squared

56.

What is the surface area?

(a) feet squared

57.

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Square Pyramid

d)

Square Prism

58.

Find the surface area of the square pyramid.

a)

429 sq. cm

b)

389 sq. cm

c)

441 sq.cm

d)

377 sq. cm

59.

A pyramid has a square base. Each side of the base is 9 cm. The slant height of each triangle is 14 cm. What is the surface area?

a)

126 cm²

b)

144 cm²

c)

252 cm²

d)

333 cm²

60.

What is the surface are if you were to wrap this square pyramid?

a)

23 sq. meters

b)

27 sq. meters

c)

33 sq. meters

d)

36 sq. meters

61.

What is the surface area of this square pyramid?

a)

70.1 sq. centimeters

b)

78.9 sq. centimeters

c)

84.5 sq. centimeters

d)

81.9 sq. centimeters

62.

Find the surface area of the square pyramid.

a)

15 square meters

b)

39 square meters

c)

69 square meters

d)

30 square meters

63.

Find the surface area of the square pyramid.

a)

645 square centimeters

b)

435 square centimeters

c)

210 square centimeters

d)

330 square centimeters

64.

Find the surface area of the square pyramid.

a)

429 sq. cm

b)

389 sq. cm

c)

441 sq.cm

d)

377 sq. cm

65.

What is the surface are if you were to wrap this square pyramid?

a)

23 sq. meters

b)

27 sq. meters

c)

33 sq. meters

d)

36 sq. meters

66.

Find the surface area of the square pyramid.

a)

15 square meters

b)

39 square meters

c)

69 square meters

d)

30 square meters

67.

Find the surface area of the square pyramid.

a)

140 square yards

b)

329 square yards

c)

210 square yards

d)

189 square yards

68.

Find the surface area of the square pyramid.

a)

64 square inches

b)

48 square inches

c)

112 square inches

d)

28 square inches

69.

Find the surface area.

a)

384 in²

b)

224 in²

c)

160 in²

d)

96 in²

70.

Find the surface area.

a)

640 cm²

b)

340 cm²

c)

540 cm²

d)

440 cm²

71.

Find the surface area.

a)

96 mi²

b)

156 mi²

c)

120 mi²

d)

60 mi²

72.

Find the surface area.

a)

81 m²

b)

279 m²

c)

131 m²

d)

198 m²

73.

^{_{Find the Surface Area}}

a)

15m²

b)

16m²

c)

18m²

d)

20m²

6a3.4 Study Guide - Volume and Surface Area

Total questions: 73

Worksheet time: 6hrs 9mins

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