Question

Find the volume of a rectangular solid ( in cubic centimeters ) whose front face and bottom faces have areas of $24$ square centimeters, $8$ square centimeters and $3$ square centimeters, respectively.

• A. $24$
• B. $96$
• C. $192$
• D. $288$

Answer 1

The correct option is A $24$

For front area, the dimensions are $3$ cm and $8$ cm.
For side area, the dimensions are $8$ cmand $1$ cm.
For bottom area, the dimensions are $3$ cm and $1$ cm.
Now, solving for volume :
Volume $=L\times W\times H$
Given, $H=8$ cm, $L=3$ cm, $W=1$ cm
$\Rightarrow V=3\times 1\times 8$
$\Rightarrow V=24$ cubic cm