Question

External dimensions of a wooden cuboid are 30 cm, 25 cm and 20 cm. If the thickness of the wood is 2 cm all around, find the volume of the wood contained in the cuboid formed.

• A. $6236c{m}^3$
• B. $6364c{m}^3$
• C. $5264c{m}^3$
• D. $6264c{m}^3$

Answer 1

The correct option is D

$6264c{m}^3$

External length of cuboid = 30 cm

External breadth of cuboid = 25 cm

External height of cuboid = 20 cm.

$\therefore$External volume of cuboid =$(30\times 25\times 20)=15000c{m}^3$

The thickness of the wood is 2 cm all around. So, length =(30 - 4) = 26 cm. Similarly, breadth = 21 cm and height = 16cm.

The internal volume of the cuboid = $(21\times 26\times 16)=8736c{m}^3$

Volume of the wood
= External volume - internal volume
= $(15000-8736)=6264c{m}^3$