Question

A rectangular box has uniform cross-section with length, breadth and height are 4, 2 and 8 cm respectively, then calculate the volume and lateral surface area of the box.

• A. $volume=64c{m}^3$, $area=96c{m}^2$
• B. $volume=44c{m}^3$, $area=40c{m}^2$
• C. $volume=54c{m}^3$, $area=40c{m}^2$
• D. $volume=24c{m}^3$, $area=40c{m}^2$

Answer 1

The correct option is A $volume=64c{m}^3$, $area=96c{m}^2$

Volume $=$ Area of its cross section $\times$ height
Area of its cross section $=$ length $\times$ breadth
$=4\times 2=8c{m}^2$
Volume $=8\times 8=64c{m}^3$
lateral surface area $=2\times$ (length $+$ breadth) $\times$ height
$=2\times (2+4)\times 8$
$=2\times 6\times 8$
Area $=96c{m}^2$