Question

The base of a prism is an equilateral triangle of side 8cm and height 12cm.Find its volume.
A.220.13 cc
B.332.554 cc
C.250 cc
D.150 cc

Answer 1

Hint- We know that volume of prism is = area of base * height
Here, base is an equilateral triangle whose side is given, first find the area of the equilateral triangle whose side is 8cm then proceed further.

Complete step-by-step answer:
It is given that the side of the equilateral triangle is 8cm.
We know that, area of the equilateral triangle is $\dfrac{\sqrt{3}}{4}\times sid{{e}^{2}}$.
Area of triangle $=\dfrac{\sqrt{3}}{4}\times 8\times 8=16\sqrt{3}$
Volume of prism= area of base * height
                              $\begin{align}
  & =16\sqrt{3}\times 12 \\
 & =332.554 \\
\end{align}$
Thus, option (B) is correct.

Note- A solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms called prisms. The base of the prism is not definite; it can be a triangular, hexagonal etc.