Question

What is the volume of a prism with a triangular base of each side of 6 cm and height 10 cm?

• A. $155.88c{m}^3$
• B. $255.88c{m}^3$
• C. $455.88c{m}^3$
• D. $355.88c{m}^3$

Answer 1

The correct option is A $155.88c{m}^3$

We know that volume of a prism = Area of base $\times$ height

$\because$ The base is triangular and has each side of the same length, so the base is an equilateral triangle.

Now, area of the base (equilateral triangle)

$=\frac{\sqrt{3}}{4}\times sid{e}^2$

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

$=15.588c{m}^2$

$\therefore$ Volume of the prism = base area $\times$ height

$=15.588\times 10$

$=155.88c{m}^3$