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IED Review 2 Area, Surface Area and Volume

Total questions: 15

Worksheet time: 2hrs 39mins

Name
Class
Date
1.

What is the surface area of this figure?

a)

200 cm 2

b)

800 cm 2

c)

400 cm 2

d)

100 cm 2

2.
Find the area
a)
8 ft2
b)
8 ft3
c)
4 ft2
d)
4 ft3
3.
What is the area of this circle?
a)
50.27
b)
78.23
c)
98.12
d)
201.06
4.
What is the area?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
d)
72 cubic cm
5.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

6.

Find the volume of the Sphere

a)

78.5 m3

b)

392.5 m3

c)

523.6 m3

d)

62.8 cm3

7.
What is the volume of the cereal box?
a)
23 in3
b)
97 in3
c)
132 in3
d)
288 in3
8.
What is the volume of this cube?
a)
9 units3
b)
27 units3
c)
9 units2
d)
27 units2
9.
Bradley’s father bought an above-ground pool in the shape of a rectangular prism. The pool measures 12 ft wide, 16 ft long, and 4 ft deep. How much water can the pool hold?
a)
32 ft3
b)
64 ft3
c)
196 ft3
d)
768 ft3
10.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
11.
Determine the Area of the shape below. Note: each grid unit = 0.5 inch.
a)
45 in2
b)
11.25 in2
c)
22.2 in2
d)
16 in2
12.

The block is to have a hole drilled through it as shown. The manufacturer wants to know what the maximum and minimum volume of the finished block with the drilled hole. Calculate the maximum and minimum volume of the part using the hole dimension tolerance.

Formula: volume of a rectangular prism V = WHL

Formula: volume of a cylinder V = πr²h

a)

MIn 35.57 in3 Max 36.74 in3

b)

MIn 7.26 in3 Max 9.76 in3

c)

MIn 44.10 in3 Max 44.68 in3

d)

MIn 11.97 in3 Max 18.16 in3

13.

What is the maximum number of bike frames you could ship in one box, at one time, if the postal service has a twenty pound weight limit per package?

The bike frame has the following mass properties: mass = 5.67lbs; volume = 58.35 in3; and area = 121.87 in2.

a)

1

b)

3

c)

5

d)

7

14.

The part pictured needs to be painted with chrome paint. What physical property will the manufacturer need to know to be able to paint 5,000 of these parts?

a)

Volume

b)

Density

c)

Center of Gravity

d)

Surface area

15.

What is the total surface area of the object?

a)

27 sq. in

b)

36 sq. in

c)

54 sq. in

d)

81 sq. in