#### Solved Examples and Worksheet for Volume of Rectangular Prisms and Cubes - Cubic Units

Q1The rectangular prism shown is formed by stacking up cubes. Find the volume of the prism if the side length of the cube is 3 in.
(Volume = l × w × h)

A. 648 in.3
B. 645 in.3
C. 646 in.3
D. 649 in.3

Step: 1
There are 4 cubes along the length of the prism. So, the length of the prism (l) = number of cubes × length of each cube = 4 × 3 = 12 in.
Step: 2
Similarly, width of the prism (w) = 2 × 3 = 6 in. and height of the prism (h) = 3 × 3 = 9 in.
Step: 3
Volume of the prism = l × w × h = 12 × 9 × 6
[Substitute values.]
Step: 4
= 648 in.3
[Multiply.]
Step: 5
So, the volume of the rectangular prism is 648 in.3
Correct Answer is :   648 in.3
Q2Identify the prism having volume of 9 cubic units.

A. Figure 1
B. Figure 2 and Figure 3
C. Figure 3
D. Figure 2

Step: 1
Volume of a prism = l × w × h
Step: 2
Volume of Figure 1 = 4 × 2 × 2 = 16 cubic units.
[l = 4 units, w = 2 units, h = 2 units.]
Step: 3
Volume of Figure 2 = 3 × 1 × 3 = 9 cubic units.
[l = 3 units, w = 1 units, h = 3 units.]
Step: 4
Volume of Figure 3 = 2 × 2 × 3 = 12 cubic units.
[l = 2 units, w = 2 units, h = 3 units.]
Step: 5
Volume of the prism in Figure 2 is 9 cubic units.
Step: 6
So, Figure 2 is the correct answer.
Correct Answer is :   Figure 2
Q3Find the volume of the solid.

A. 32 cubic units
B. 9 cubic units
C. 16 cubic units
D. 27 cubic units

Step: 1
Volume of the solid = l × w × h
Step: 2
Volume V = 8 × 1 × 4 = 32 cubic units
[l = 8 units, w = 1 unit, h = 4 units.]
Step: 3
Volume of the given solid is 32 cubic units.
Correct Answer is :   32 cubic units
Q4Find the volume of the solid.

A. 48 cubic units
B. 36 cubic units
C. 24 cubic units

Step: 1
Volume of the solid = l × w × h
Step: 2
Volume V = 4 × 3 × 4 = 48 cubic units
[l = 4 units, w = 3 units, h = 4 units.]
Step: 3
Volume of the given solid is 48 cubic units.
Correct Answer is :   48 cubic units
Q5Find the volume of the solid.

A. 120 cubic units
B. 129 cubic units
C. 128 cubic units
D. 127 cubic units

Step: 1
Volume of the solid = l × w × h
Step: 2
Volume V = 8 × 4 × 4 = 128 cubic units
[l = 8 units, w = 4 units, h = 4 units.]
Step: 3
Volume of the given solid is 128 cubic units.
Correct Answer is :   128 cubic units
Q6Find the volume of the solid shown.

A. 32 cm3
B. 12 cm3
C. 16 cm3
D. 24 cm3

Step: 1
The solid given is made up of 24 small cubes.
Step: 2
Volume of the cuboid = Number of cubes × Volume of each cube = 24 × 1 cm3 = 24 cm3
Correct Answer is :   24 cm3
Q7Find the volume of the solid shown.

A. 72 cm3
B. 64 cm3
C. 48 cm3
D. 36 cm3

Step: 1
The solid given is made up of 48 small cubes.
Step: 2
Volume of the cuboid = Number of cubes × Volume of each cube = 48 × 1 cm3 = 48 cm3
Correct Answer is :   48 cm3
Q8Find the volume of the solid shown if the volume of each small cube is 1 unit3.

A. 12 unit3
B. 24 unit3
C. 18 unit3
D. 16 unit3

Step: 1
The solid given is made up of 16 small cubes.
Step: 2
Volume of the cuboid = Number of cubes × Volume of each cube = 16 × 1 unit3 = 16 unit3
Correct Answer is :   16 unit3
Q9Find the volume of the solid shown if each small cube measures 1 cm3.

A. 124 cm3
B. 102 cm3
C. 96 cm3
D. 72 cm3

Step: 1
The solid given is made up of 96 small cubes.
Step: 2
Volume of the cuboid = Number of cubes × Volume of each cube = 96 × 1 cm3 = 96 cm3
Correct Answer is :   96 cm3
Q10Find the volume of the solid shown if each small cube measures 1 cm3.

A. 72 cm3
B. 96 cm3
C. 64 cm3
D. 86 cm3

Step: 1
The solid given is made up of 72 small cubes.
Step: 2
Volume of the cuboid = Number of cubes × Volume of each cube = 72 × 1 cm3 = 72 cm3
Correct Answer is :   72 cm3