Question

External dimensions of a wooden cuboid are $30cm\times 25cm\times 20cm$. If the thickness of the wood is $2cm$ all around, then find the volume of the wood used to create the hollow cuboid.

• A. $6264c{m}^3$
• B. $5264c{m}^3$
• C. $6254c{m}^3$
• D. $6664c{m}^3$

Answer 1

The correct option is A $6264c{m}^3$

We know that,
Volume of cuboid
$=Length\times Breadth\times Height$

Given that,
External dimensions of cuboid
$=30cm\times 25cm\times 20cm$
Internal dimensions of cuboid
$=(30-4)cm\times (25-4)cm\times (20-4)cm$
$=26cm\times 21cm\times 16cm$

Hence, the volume of wood used to create the cuboid
$=$ External volume of cuboid - Internal volume of cuboid
$=(30\times 25\times 20)-(26\times 21\times 16)$
$=15000-8736$
$=6264c{m}^3$