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Surface Area and Volume Worksheet - Page 2

Surface Area and Volume Worksheet
  • Page 2
 11.  
How many cubes are in the letter 'C' as shown in the figure?


a.
13
b.
15
c.
12
d.
16


Solution:

Count the number of cubes in the letter 'C'.

The number of cubes in the letter 'C' is 13.


Correct answer : (1)
 12.  
How many cubes are there in the letter 'B' as shown in the figure?


a.
26
b.
20
c.
22
d.
28


Solution:

Count the number of cubes in the letter 'B'.

The number of cubes in the letter 'B' is 20.


Correct answer : (2)
 13.  
How many cubes are there in the letter 'E' as shown in the figure?


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


Solution:

Count the number of cubes in the letter 'E'.

The number of cubes in the letter 'E' is 12.


Correct answer : (1)
 14.  
How many cubes are there in the letter 'F' as shown in the figure?


a.
14
b.
16
c.
12
d.
18


Solution:

Count the number of cubes in the letter 'F'.

The number of cubes in the letter 'F' is 12.


Correct answer : (3)
 15.  
How many cubes are there in the letter 'T' as shown in the figure?


a.
12
b.
11
c.
14
d.
10


Solution:

Count the number of cubes in the letter 'T'.

The number of cubes in the letter 'T' is 11.


Correct answer : (2)
 16.  
Identify a solid that has a volume of 32 cubic units.


a.
Figure 1
b.
Figure 3
c.
Figure 2
d.
Figure 4


Solution:

Volume of the rectangular solid = l × w × h

For Figure 1, Volume V = 6 × 3 × 4 = 72 cubic units

For Figure 2, Volume V = 5 × 3 × 4 = 60 cubic units

For Figure 3, Volume V = 4 × 3 × 5 = 60 cubic units

For Figure 4, Volume V = 2 × 4 × 4 = 32 cubic units

Figure 4 represents a solid that has a volume of 32 cubic units.


Correct answer : (4)
 17.  
Find the volume of the solid.


a.
9 cubic units
b.
27 cubic units
c.
16 cubic units
d.
18 cubic units


Solution:

Volume of the solid = l × w × h

Volume V = 4 × 1 × 4 = 16 cubic units
[l = 4 units, w = 1 unit, h = 4 units.]

Volume of the given solid is 16 cubic units.


Correct answer : (3)
 18.  
Find the volume of a cube which has a side equal to 4 in.
a.
68 in.3
b.
64 in.3
c.
66 in.3
d.
None of the above


Solution:

Volume of a cube with edge a = a × a × a

= 4 × 4 × 4
[Substitute a = 4 in.]

= 64
[Multiply.]

So, the volume of the cube = 64 in.3


Correct answer : (2)
 19.  
Find the volume of a box, which is in the form of a rectangular prism, with a length of 6 in., a height of 3 in. and width of 5 in.
a.
100 in.3
b.
95 in.3
c.
30 in.3
d.
90 in.3


Solution:

Volume of a rectangular prism = Length × Width × Height

= 6 × 5 × 3
[Substitute the values.]

= 90 in.3
[Multiply.]

So, the volume of the rectangular prism = 90 in.3


Correct answer : (4)
 20.  
The length, width and height of a rectangular box are 8 in., 6 in. and 7 in. respectively. What is its volume?
a.
346 in.3
b.
331 in.3
c.
336 in.3
d.
56 in.3


Solution:

Volume of the rectangular box = Length × Width × Height

= 8 × 6 × 7
[Substitute the values.]

= 336 in.3
[Multiply.]

So, the volume of the rectangular box is 336 in.3


Correct answer : (3)

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