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Surface Area and Volume Worksheet - Page 3

Surface Area and Volume Worksheet
  • Page 3
 21.  
The base area of a rectangular prism is 4 in.2 and its volume 12 in.3 What is the height of the rectangular prism?
a.
4 in.
b.
2 in.
c.
3 in.
d.
5 in.


Solution:

Volume of a rectangular prism = (Area of the base × height)

12 = 4 × height
[Substitute the values.]

12 / 4 = 3 = height
[Divide each side by 4.]

Height of the rectangular prism = 3 in.


Correct answer : (3)
 22.  
The volume of the box is 150 in.3 and its height is 5 in. Find the area of the base.
a.
40 in.2
b.
25 in.2
c.
35 in.2
d.
30 in.2


Solution:

Volume of the box = (Area of the base × height) unit3

150 = Area of the base × 5
[Substitute the values.]

150 / 5 = Area of the base
[Divide each side by 5.]

Area of the base = 30 in.2


Correct answer : (4)
 23.  
How many cubes are there in the solid?


a.
14
b.
16
c.
12
d.
10


Solution:

Number of cubes in the bottom layer = 4 × 2 = 8

Number of cubes in the top layer = 2 × 2 = 4

Total number of cubes = 8 + 4 = 12


Correct answer : (3)
 24.  
How many small cubes are there in the solid?

a.
29
b.
30
c.
27
d.
25


Solution:

Number of cubes in each layer = 9
[Count the number of cubes in the top layer.]

Number of layers = 3

Total number of cubes = 9 × 3 = 27


Correct answer : (3)
 25.  
How many small cubes are there in the solid?

a.
24
b.
6
c.
18
d.
12


Solution:

Number of cubes in each layer = 6

Number of layers = 2

Total number of cubes = 6 × 2 = 12


Correct answer : (4)
 26.  
Find the volume of a box, which is in the form of a rectangular prism, with a length of 4 m, a height of 6 m and a width of 10 m.
a.
64 m3
b.
240 m3
c.
24 m3
d.
60 m3


Solution:

Volume of a rectangular prism = length × height × width
[Formula.]

Volume of the box = 4 × 6 × 10
[Substitute the values.]

= 240
[Multiply.]

So, the volume of the box is 240 m3.


Correct answer : (2)
 27.  
Find the volume of a cube whose sides measure 8 in.
a.
8 in3
b.
16 in3
c.
512 in3
d.
64 in3


Solution:

The length, width and height of a cube are equal.

Volume of a cube with side a = a × a × a
[Formula.]

= 8 × 8 × 8 = 512
[Substitute and simplify.]

So, the volume of the cube is 512 in3.


Correct answer : (3)
 28.  
What is the surface area of a book 10 cm long, 5 cm wide, and 2 cm high?
a.
120 cm2
b.
160 cm2
c.
80 cm2
d.
60 cm2


Solution:

Length of the book is 10 cm, width is 5 cm and height is 2 cm.

Surface area of the book = 2 (l × w) + 2 (w × h) + 2 (l × h)
[Formula.]

= 2(10 × 5) + 2 (5 × 2) + 2 (10 × 2)
[Substitute the values.]

= 2(50) + 2(10) + 2(20)
[Multiply.]

= 160
[Simplify.]

So, the surface area of the book is 160 cm2.


Correct answer : (2)

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