Question

A cuboid is $25cm$ long, $15cm$ broad, and $8cm$ high. How much of its volume will differ from that of a cube with the edge of $16cm$?

• A. $1096c{m}^3$
• B. $96c{m}^3$
• C. $1196c{m}^3$
• D. None of these

Answer 1

The correct option is A $1096c{m}^3$

For cuboid

$\text{Volume = length x breadth x height}$

It is given that,

length $=25cm$

Breadth $=15cm$

Height $=8cm$

So, by given dimensions

Capacity of tank $=25\times 15\times 8c{m}^3=3000c{m}^3$

Hence, option $A$ is correct

For, cube

So, ${\text{Volume = side}}^3$

It is given that,

side $=16cm$

So,

Volume of cube $=(16{)}^{3}c{m}^3=4096c{m}^3$

So, difference between volume is $4096-3000=1096c{m}^3$

Hence, option $A$ is correct