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Surface areas and volumes

Total questions: 117

Worksheet time: 13hrs 55mins

Name
Class
Date
1.

To find the volume of a figure you need to use which of the following formulas?

a)

l x w

b)

l x w x h

c)

1/2 x b x h

d)

2l x 2w x 2h

2.
What is surface area?
a)
Inside of the object
b)
the sum of all theareas of all the shapes that cover the surface of the object.
c)
Something Mr. Strickland made up?
d)
Surface area is what you get when you boil unicorn tears. 
3.
Find the volume of the figure?
a)
4003 cm3
b)
336 cm3
c)
36 cm3
d)
412 cm3
4.
Find the volume of the figure?
a)
1100 in3
b)
1600 in3
c)
1200 in3
d)
1500 in3
5.
Find the volume of the figure?
a)
460 cm 3
b)
660 cm 3
c)
60 cm 3
d)
360 cm 3
6.
The volume of this CUBE is 64 cubed cm. What is the cube's height? * hint ---  l x w x h =64---- the shape is a CUBE
a)
6cm
b)
 4 cm
c)
64 cm
d)
 8903 cm 8
7.
What is the height of this figure?
a)
6 cm
b)
14 cm
c)
4 cm
d)
24 cm
8.
What is the SURFACE AREA of this figure? * hint the height of this CUBE is 3
a)
64 cm2
b)
54 cm2
c)
36 cm
9.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
10.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
11.

What is the surface area?

a)

164 in2

b)

82 in2

c)

120 in3

d)

164 in3

12.

What is the volume?

a)

14 ft 2

b)

54 ft2

c)

54 ft3

d)

102 ft3

13.
a)

990 yds2

b)

990 yds3

c)

598 yds2

d)

598 yds3

14.
a)

80 ft3

b)

80 ft2

c)

48 ft2

d)

48 ft3

15.

What is the volume to the nearest tenth?

a)

34.4 yds2

b)

34.38 yds3

c)

34.4 yds3

d)

34.38 yds2

16.
a)

0.75 ft

b)

4.25 ft

c)

2.25 ft

d)

0.725 ft

17.

What is the surface area of the cylinder?

a)

176π cm2

b)

376.8 cm3

c)

376.8 cm2

d)

120π cm2

18.
a)

19790.03 cm2

b)

2032.3 cm2

c)

2032.27 cm3

d)

3237.75cm2

19.
a)

30,400 cm2

b)

30,400 cm3

c)

320,000 cm2

d)

320,000 cm3

20.
a)

120 m3

b)

240 m3

c)

148 m3

d)

128 m3

21.
a)

24.1 in2

b)

24.1 in

c)

4.9 in

d)

24.09 in2

22.
a)

91.3 in3

b)

91.4 in3

c)

91.3 in2

d)

91.4 in

23.
a)

They have the same volume.

b)

Cylinder A

c)

Cylinder B

d)

There is not enough information to determine.

24.

What is the volume of the cylinder?

a)

235.5 ft3

b)

942 ft3

c)

75π ft3

d)

235.62 ft3

25.

What is the surface area of the cylinder?

a)

72.5π ft2

b)

72.5π ft3

c)

227.7 ft3

d)

227.65 ft2

26.

What is the surface area?

a)

244 ft2

b)

122 ft2

c)

168 ft2

d)

84 ft2

27.

What is the surface area?

a)

224 ft2

b)

374 ft2

c)

748 ft2

d)

1120 ft2

28.

Find the volume of the solid shown in the figure and answer in terms of pi.

a)

480π m3

b)

1440π m3

c)

360π m3

d)

120π m3

29.
What is the total surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
30.

Name the figure

a)

Rectangular Prism

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Triangular Pyramid

e)

Cube

31.

Name the figure

a)

Rectangular Prism

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Triangular Pyramid

e)

Cube

32.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
33.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
Square Prism
34.

What is the TOTAL surface area of the triangular prism shown.

a)

960 cm2

b)

448 cm2

c)

256 cm2

d)

544 cm2

35.
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
36.
What 3D figure does this net form?
a)
triangular prism
b)
square prism
c)
square pyramid
d)
triangular pyramid
37.
Determine the surface area of the figure.
a)
96 cm2
b)
84 cm2
c)
144 cm2
38.
Find the surface area of the following triangular pyramid.
Each triangle is congruent, with a base of 7 ft. and a height of 6ft.
a)
168 ft²
b)
126 ft²
c)
84 ft²
d)
42 ft²
39.
Find the surface area of the rectangular prism.
a)
29 cm2
b)
912 cm2
c)
348 cm2
d)
438 cm2
40.
Find the surface area of the triangular prism.
a)
228 in2
b)
204 in2
c)
304 in2
d)
328 in
41.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
42.
Which is the formula for volume?
a)
Base x Height
b)
Length x Width
c)
Length x Width x Height
d)
Surface Area x Height
43.

What is the volume?

a)

72 cubic units

b)

27 cubic units

c)

1.5 cubic units

d)

272 cubic units

44.
What is the name of this shape?
a)
Square Triangle
b)
Square polygon
c)
Square pyramid
d)
Square prism
45.
a)
24 cubic units
b)
28 cubic units
c)
12 cubic units
d)
20 cubic units
46.
what is the volume?
a)
72 unit3
b)
27unit3
c)
1.5unit
d)
none of the above
47.
What shape is this?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
48.
calculate the volume of this figure. 
a)
8M
b)
6M2
c)
8m3
d)
32M
49.

What is the volume of the figure below?

a)

12 feet squared

b)

36 feet squared

c)

54 feet squared

d)

90 feet squared

50.

Travanta needs to wrap a rectangular prism similar to the one shown. Which measure of the rectangular prism would be MOST helpful in determining the amount of wrapping paper Travanta needs?

a)

circumference

b)

surface area

c)

perimeter

d)

volume

51.

Ms. Aguas is making a rectangular box with measurements as shown below. What is the surface area of the box?

a)

24 inches squared

b)

96 inches squared

c)

128 inches squared

d)

144 inches squared

52.

Elsie needs to paint the wooden box below as a prop for the school spring musical. What is the surface area of the box?

a)

12.50 square feet

b)

18.75 square feet

c)

36.25 square feet

d)

46.50 square feet

53.

The length and width of the rectangular prism shown below will be tripled. What effect will this change have on the volume of the prism?

a)

It will triple the volume.

b)

It will quadruple the volume.

c)

It will increase the volume by a factor of 6.

d)

It will increase the volume by a factor of 9.

54.

Kara plans to paint the inside of her swimming pool before she fills it. The pool is a rectangular prism shown below. (Note: the top of the pool is open and will not be painted.) How many square feet of surface area will she paint?

a)

300

b)

500

c)

700

d)

1000

55.

A baking pan is 23 cm wide, 33 cm long, and 6 cm high. If the cake mixture fills the pan to one centimeter from the top, how much mixture is in the pan?

a)

4554 cubic cm

b)

4416 cubic cm

c)

4356 cubic cm

d)

3795 cubic cm

56.

Aaron has a box that has a length of 12 inches, a width of 6 inches, and a height of 9 inches. What is the volume of the box?

a)

360 cubic inches

b)

468 cubic inches

c)

648 cubic inches

d)

972 cubic inches

57.

The surface area of a cube is 864 cm2. What must be the length of each edge?

a)

6 cm

b)

12 cm

c)

144 cm

d)

288 cm

58.

Rocky has a candle that is a right rectangular prism, as shown below. What volume is left after Rocky’s candle burns 1/3 of its volume?

a)

12 cubic inches

b)

18 cubic inches

c)

36 cubic inches

d)

54 cubic inches

59.
Find the surface area of the rectangular prism.
a)
77 cm2
b)
17 cm2
c)
7 cm2
d)
70 cm2
60.
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
61.
The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the surface area.
a)
300 inches
b)
200 inches
c)
275 inches
62.
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
63.
What shape is this?
a)
Rectangle
b)
Rectangular Prism
c)
Triangular Prism
d)
Rectangular Pyramid
64.
What shape is this?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
65.
What shape is this?
a)
Triangular Prism
b)
Triangular pyramid
c)
Cone
d)
Triangles
66.
Find the surface area of the figure formed by the net.
a)
40 cm2
b)
48 cm2
c)
52 cm2
d)
62 cm 2
67.
How much gift wrap is needed to wrap a gift 5 inches long, 8 inches wide and 10 inches tall?
a)
80 in2
b)
340 in2
c)
400 in2
d)
160 in2
68.

Which equation uses the correct formula to find the surface area of the shape?

a)

10⋅2⋅310\cdot2\cdot3

b)

2⋅10⋅22\cdot10\cdot2 + 2⋅10⋅32\cdot10\cdot3 + 2⋅2⋅32\cdot2\cdot3

c)

3.14 ⋅ 22⋅33.14\ \cdot\ 2^2\cdot3

d)

2⋅3.14 ⋅ 22+2⋅ 3.14⋅ 2⋅ 32\cdot3.14\ \cdot\ 2^2+2\cdot\ 3.14\cdot\ 2\cdot\ 3

69.

Jessica is going to make a wooden jewelry box to give to her mom on her birthday. She is going to paint the box pink because it is her mom’s favorite color. The length of the box is 9 inches, the width is 5 inches, and the height is 3 inches. How much paint will be needed to paint the jewelry box? Which equation would be used to solve this problem?

a)

2(9)(5) + 2(9)(3) +2(5)(3)

b)

9(5)(3)

c)

3.14(9)2(5)3.14\left(9\right)^2\left(5\right)

d)

2(3.14)(9)2+2(3.14)(9)(5)2\left(3.14\right)\left(9\right)^2+2\left(3.14\right)\left(9\right)\left(5\right)

70.

Mark is going to build a rectangular flower box to plant vegetables. He will purchase wood to build the the flower box. How much soil will be able to fit into the box if the length is 10 feet, the width is 3 feet and the height is 4 feet?

a)

2×10×32\times10\times3 + 2×10×42\times10\times4 + 2×3×42\times3\times4

b)

10×3×410\times3\times4

c)

π×102×3\pi\times10^2\times3

d)

2×π×102 2\times\pi\times10^2\ + 2×π×10×32\times\pi\times10\times3

71.
Find the Surface Area.
a)
15.6m2
b)
96m2
c)
52.3m2
d)
890m2
72.
Find the Volume of the given figure.
a)
30 ft3
b)
36 ft3
c)
96 ft3
d)
11 ft3
73.
A rectangular prism has a length of 6 cm, and a width of 7 cm.  The volume of the rectangular prism is 210 cubic cm.  What is the height?
a)
5
b)
42
c)
13
d)
21
74.
Mario was packing juice boxes into his lunchbox.  His lunchbox can hold 144 in3.  If the juice boxes measure 3 in x 2 in x 3 in, how many boxes can he fit in his lunchbox?
a)
12
b)
8
c)
18
d)
288
75.
A rectangular prism of volume 3200 mm3 has a rectangular base of length 10 mm and width 8 mm. Find the height h of the prism.
a)
 40mm³
b)
10mm³
c)
50mm³
d)
5mm³
76.
Alex has a fish tank that is 20 inches long, 12 inches wide, and is 25 inches tall. It has 5 glass sides and a plastic top that opens to clean the tank and feed the fish. What is the surface area of the glass sides? 
a)
6000 in2
b)
1840 in2
c)
2080 in2
d)
30000 in2
77.
A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill in the well? 
a)
4712.4 ft2
b)
1178.1ft2
c)
4712.4 ft3
d)
1178.1ft3
78.
Sara  and Alanna each drew a cylinder. Sara drew cylinder A. Alanna drew cylinder B. Which cylinder will have a greater volume?
a)
Cylinder A
b)
Cylinder B
79.
a)
1848
b)
1048
c)
308
d)
42
80.
a)
1048
b)
1848
c)
42
d)
308
81.
a)
1137.4
b)
121
c)
605
d)
2887.5
82.
a)
292
b)
631.4
c)
347
d)
510.4
83.
a)
4362.4
b)
3319.7
c)
1659.8
d)
2181.2
84.
a)
1009.6
b)
1069.5
c)
997.9
d)
864.5
85.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
86.

Find the volume of the rectangular prism.

a)

55 yd3

b)

121 yd3

c)

22 yd3

d)

330 yd3

87.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
88.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
89.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
90.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
91.
What shape is the base? What is the area of the base (B)?
a)
Rectangle; 60in2
b)
Triangle; 12 in2
c)
Rectangle; 32 in2
d)
Triangle; 6 in2
92.
Find the volume:
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
93.

What is the volume?

a)

900 in3

b)

900 ft3

c)

900 m2

d)

900 in2

94.
A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.
a)
10250 cm3
b)
11250 cm3
c)
11250 ft3
d)
10250 ft3
95.
What would be the perimeter of this shape?
a)
108 cm²
b)
42 cm
c)
108 cm
d)
42 cm²
96.
Which of these could be an answer for a perimeter problem?
a)
cm
b)
cm²
c)
cm³
97.
What does it mean when you are finding the perimeter of a shape?
a)
finding how many cubes will fit into a shape
b)
finding how much space the shape is taking up
c)
finding the total distance of the edges around the shape
98.
What is the perimeter of this shape?
a)
44cm²
b)
34cm
c)
30cm 
d)
44cm
99.
What is the area of this shape?
a)
18cm
b)
22cm²
c)
18cm²
d)
22cm
100.
What of these could be an answer for an area problem?
a)
cm
b)
m³
c)
m²
101.
What is the
 area of
this shape?
a)
50cm²
b)
22cm²
c)
38cm²
102.
What is
perimeter
of this shape?
a)
101 in
b)
90 in
c)
30 in
103.
Which formula would I use of work out volume?
(NOTE: the measurements are in metres)
a)
40m²
b)
40m³
c)
11m²
104.
What formula would I use to work out volume?
a)
l x w x h
b)
1/2 (bxh)
c)
a + b + c
d)
l x w
105.
What would the
area
of this triangle be?
a)
9cm²
b)
11cm²
c)
3cm²
d)
12cm
106.
Find the volume
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
107.
Find the Volume
a)
428.4 cm3
b)
412.8 cm3
c)
404.2 cm3
d)
400 cm3
108.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
109.
Find the Volume
a)
428.4 cm3
b)
412.8 cm3
c)
404.2 cm3
d)
400 cm3
110.
what is the volume?
a)
72 unit3
b)
27unit3
c)
1.5unit
d)
27 unit2
111.
Find the volume
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
112.
What shape is this?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
113.
What is the volume of this cube?
a)
9 units3
b)
27 units3
c)
9 units2
d)
27 units2
114.
Calculate the Volume
a)
84 cm3
b)
420 cm3
c)
60 cm3
d)
144 cm3
115.
Find the area of the rectangle.
a)
8 square units
b)
9 square units
c)
10 square units
d)
12 square units
116.
Which units are NOT used for volume?
a)
cm3
b)
m3
c)
mm3
d)
km2
117.

Find the volume of the figure.

a)

100 cm³

b)

91 cm³

c)

819 cm³

d)

550 cm³

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