Date: ____/____/____
ID: A
Name: _________________________
Block ID: _______
5. Surface Area Practice Chapter Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Choose the best answer.
1. Which combination of views is the minimum required to describe a 3-D object?
a. front only
b. front, side, and top
c. side and front
d. side and top
2. Identify the following 3-D object.
a.
b.
triangular pyramid
triangular prism
c.
d.
rectangular prism
cylinder
3. Which object has the front view shown below after a rotation of 90° clockwise onto its side?
a.
c.
b.
d.
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4. The surface area of this triangular prism would be calculated as
You need to use the Pythagorian
relationship to determine the missing length.
a.
b.
c.
d.
2(5 × 8) + 2(6 × 4)
5×8
2(
) + 2(5 × 5) + (6 × 8)
2
4×6
2(
) + 2(5 × 8) + (6 × 8)
2
2(5 × 8) + 3(6 × 4)
5. The minimum number of views needed to describe a 3-D object is
a. 1
b. 2
c. 3
6. Find the surface area of the following rectangular prism.
a.
b.
81 cm2
90 cm2
c.
d.
108 cm2
162 cm2
2
d.
6
7. What 3-D object can the net illustrated below be folded to create?
a.
cube
b.
cylinder
c.
oblong box
d.
sphere
8. What 3-D object can be created by folding this net?
a.
b.
cube
cylinder
c.
d.
rectangular prism
triangular prism
9. The distance between adjacent dots (vertical and horizontal) is 1 cm. What would be the surface area of the
3-D object produced by the net below?
a.
48 cm2
b.
64 cm2
c.
88 cm2
3
d.
88 cm3
10. Which object do these three views describe?
a.
c.
b.
d.
11. Which 3-D object would the following net create?
a.
b.
cube
cylinder
c.
d.
rectangular prism
triangular prism
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12. Which net would create a cylinder?
a.
c.
b.
d.
13. Which view best represents the top of this 3-D object?
a.
c.
b.
d.
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14. Which view best represents the top of this 3-D object?
a.
c.
b.
d.
15. Which view best represents the front of this 3-D object?
a.
c.
b.
d.
16. To find the total surface area of a rectangular prism, you must calculate and add the areas of
a. 2 faces
b. 3 faces
c. 4 faces
d. 6 faces
17. The 3-D object created by folding this net will be a
a.
b.
triangular prism
rectangular prism
c.
d.
cylinder
cube
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18. A 3-D object with two parallel and congruent circular bases is a
a. cylinder
c. sphere
b. rectangular prism
d. triangular prism
19. A tube for potato chips is a cylinder with a diameter of 6 cm and a height of 28 cm. What is the total surface
area of the tube?
a. 584.04 cm2
b. 527.52 cm2
c. 56.52 cm2
d. 18.84 cm2
20. What is the total surface area of a cylinder with a radius of 1 cm and a height of 12 cm?
a. 12.56 cm2
b. 78.5 cm2
c. 81.64 cm2
d. 175.8 cm2
21. The total surface area of the 3-D object created by the net shown below would be
a.
38.465 cm2
b.
483.56 cm2
c.
522.025 cm2
22. What is the surface area of the 3-D object shown below?
a.
b.
8 cm2
16 cm2
c.
d.
32 cm2
40 cm2
7
d.
560.49 cm2
23. What is the surface area of the 3-D object shown below?
a.
12 cm2
b.
135 cm2
c.
168 cm2
d.
318 cm2
c.
38.62 m2
d.
45.62 m2
c.
696 cm2
d.
688 cm2
24. The total surface area of this 3-D object would be
a.
7.62 m2
b.
25.12 m2
25. The total surface area of this 3-D object is
a.
836 cm2
b.
736 cm2
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Short Answer
Write your answer in the space provided.
26. Draw the front, top, and side views for this 3-D object.
27. Draw the front, top, and side views for the 3-D object shown below.
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28. Draw the 3-D object described by the three views shown below.
10
29. Identify and sketch the two 3-D objects that together form this house.
Problem
Write your answer in the space provided.
30. A roof is being constructed with an end as shown below. The roof is 14 m long. What will the surface area of
the top and two ends of the roof be?
31. A cylinder has two circular ends, each with an area of 1256 cm2 . The height of the cylinder is 60 cm. What is
the surface area of the cylinder?
32. Calculate the surface area of a cylinder with a height of 60 cm and a circumference of 62.8 cm.
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33. Calculate the total surface area of the triangular prism shown below.
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ID: A
5. Surface Area Practice Chapter Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
B
B
A
C
C
B
A
C
C
A
C
A
B
A
D
D
B
A
A
C
D
D
C
C
B
SHORT ANSWER
26.
1
ID: A
27.
28.
29. The house is a combination of a triangular prism and a rectangular prism.
PROBLEM
30. Surface area of two ends = 2 ×
=2×
b×h
2
12 × 4.5
2
= 54
Surface area of the top = 2 × 7.5 × 14
= 210
T otal surface area = 54 + 210
= 264
Surface area of the top = 2 × 7.5 × 14
= 210
The total surface area is 264 m2 .
2
ID: A
31.
Area of two ends = 2 × 1256
= 2512
Area of a circle = π × r
2
1256 = 3.14 × r
2
r =
2
1256
3.14
2
r = 400
r = 20
Diameter = 2 × radius
= 2 × 20
= 40
Circumference =π × d
= 3.14 × 40
= 125.6
Area of the rectangle = height × circumference
= 60 × 125.6
= 7536
T otal surface area = area of ends + area of the rectangle
= 2512 + 7536
= 10 048
The total surface area of the cylinder is 10 048 cm2 .
3
ID: A
32.
Circumference = π × diameter
62.8 = 3.14 × d
d=
You need to "reverse engineer"
to calculate the diameter
62.8
3.14
d = 20
2
Area of one circular end = 2( π × r )
= 2 × 3.14 × 10
2
= 628
Area of two circular ends = 628 × 628 628 + 628
= 1256
Area of the rectangle = π × d × h
= 3.14 × 20 × 60
= 3768
T otal surface area = 1256 + 3768
= 5024
The total surface area of this cylinder is 5024 cm2 .
b×h
33. Surface area of 2 triangular faces = 2 × (
)
2
= 2×(
6×4
)
2
= 24
2
Surface area of 3 rectangular faces = 3 × l × w
2
(roof sections)
100
2
= 3 × 10 × 5
= 150 100
Area of floor = l × w
10 × 6
= 60
T otal surface area = 24 + 150 + 60
= 174 184
184
The total surface area for this triangular prism is 174 cm2 .
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