Question

A hexagonal tank has sides of its base as 4 m each. The height of the tank is 10 m. Find the volume of the water tank.

• A. $260\sqrt{3}{m}^3$
• B. $240\sqrt{3}{m}^3$
• C. $230\sqrt{3}{m}^3$
• D. $250\sqrt{3}{m}^3$

Answer 1

The correct option is B $240\sqrt{3}{m}^3$

Let 's' be the side length of the base.

Given: s = 4 m and height h = 10 m

Hexagonal base contains six equilateral triangle each of side = 4 m

$Areaofbase=A=6\times \frac{\sqrt{3}}{4}\times s^2$

$\Rightarrow A=6\times \frac{\sqrt{3}}{4}\times 4^2$

$\Rightarrow A=6\times \frac{\sqrt{3}}{4}\times 16$

$\Rightarrow A=6\times \sqrt{3}\times 4$

$\Rightarrow A=24\sqrt{3}{m}^2$

$Volume=A\times h=24\sqrt{3}\times 10=240\sqrt{3}{m}^3$