Question

A closed box measures 66 cm, 36 cm and 21 cm from outside. If its walls are made of metal-sheet, 0.5 cm thick, then find the volume of metal-sheet.

• A. $4396c{m}^3$
• B. $4300c{m}^3$
• C. $4000c{m}^3$
• D. $4390c{m}^3$

Answer 1

The correct option is A $4396c{m}^3$

Volume of external dimension$=66\times 36\times 21c{m}^3$
$=49896c{m}^3$
The thickness of metal sheet id 0.5cm
$\therefore$ volume of internal dimension of 0.5 cm $=$ Capacity of the box

$=(66-1)(36-1)(21-1)=65\times 35\times 20c{m}^3$
$=45500c{m}^3$
$\therefore$ Volume of metal-sheet $=49896-45500=4396c{m}^3$