Question

Volume of the below figure is cu units.

• A. 82
• B. 66
• C. 54

Answer 1

The correct option is A 82

We split the figure as below:

Let's get the dimensions first.
Smaller rectangular prism:
Length = 7 units
Width = 2 units
Height = 2 units

So, volume of left rectangular prism
$=\text{length}\times \text{breadth}\times \text{height}$
$=7\times 2\times 2\text{cu units}$
= 28 cu units

Bigger rectangular prism:
Length = 9 units
Width = 3 units
Height = 2 units

So, volume of left rectangular prism
$=\text{length}\times \text{breadth}\times \text{height}$
$=9\times 3\times 2\text{cu units}$
= 54 cu units

So, total volume of the figure:
= 54 + 28 cu units
= 82 cu units