Question

A cuboid has uniform cross-section with length, breadth and height are $2,3$ and $4cm$ respectively, then calculate the volume and lateral surface area of a cuboid.

• A. $volume=24c{m}^3$, $area=40c{m}^2$
• B. $volume=23c{m}^3$, $area=40c{m}^2$
• C. $volume=24c{m}^3$, $area=20c{m}^2$
• D. $volume=14c{m}^3$, $area=30c{m}^2$

Answer 1

The correct option is A $volume=24c{m}^3$, $area=40c{m}^2$

Volume $=$ Area of its cross section $\times$ height
Area of its cross section $=$ length $\times$ breadth
$=2\times 3=6c{m}^2$
Volume $=6\times 4=24c{m}^3$
lateral surface area $=2\times$ (length $+$ breadth) $\times$ height
$=2\times (2+3)\times 4$
$=2\times 5\times 4$
Area $=40c{m}^2$