Question

The base of a prism is an equilateral triangle of perimeter 15 cms and it's height is 5cms .calculate its volume.

Answer 1

Answer: $\frac{1125\sqrt{3}}{4} \text{ cube cm}$

Step-by-step explanation:

Since, the volume of the prism = Area of the base × Height

Here, the base of the prism is an equilateral triangle having side 15 cm,

⇒ $\text{The area of the base} = 15^2\frac{\sqrt{3}}{4}}$

$= 225\frac{\sqrt{3}}{4}}$

Also, the height of the prism = 5 cm

$\text{The volume of the prism having triangular base}=225\frac{\sqrt{3}}{4}}\times 5$

$=\frac{1125\sqrt{3}}{4} \text{ cube cm}$