﻿ Surface Area and Volume Worksheet - Page 2 | Problems & Solutions

# 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.

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.

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.

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.

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.

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.

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.

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

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

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