Question

Volume of a cuboid is $12c{m}^3$. The volume (in $c{m}^3$) of a cuboid whose sides are double of the above cuboid is:

Answer 1

Given:
Volume of a cuboid $=12c{m}^3$

Let the length, breadth and height of cuboid be $a,b$ and $c$ respectively

$\therefore$ Volume of cuboid
$=$length $\times$breadth $\times$ height

$\Rightarrow a\times b\times c=12c{m}^3$

According to the question,

New length $=2a$

New breadth $=2b$

New height $=2c$

$\therefore$ Volume of new cuboid $\left(V\right)=2a\times 2b\times 2c$

$=8abc$

$=8\times 12$

$=96c{m}^3$

Hence, (d) is the correct option.