Q13. - Geometry

Question

Find the lateral area of a right pentagonal prism with height 3 and base edges 3.2, 5.8, 6.9, 4.7, and 9.4.

Step-by-Step Solution

Answer

The lateral area of a right pentagonal prism is 90 square unit.

Step 1. Given information.

Height of the prism is 3 and the base edges are 3.2, 5.8, 6.9, 4.7 and 9.4.

Step 2. Write the concept.

The lateral area of the prism is given by:

$\text{L.A.}=\text{Perimeter}\times \text{Height}$

Step 3. Determine the area.

Substitute the given values in the formula:

 

\begin{align} L.A. &= (3.2+5.8+6.9+4.7+9.4)\cdot 3\\&= 30\cdot 3\\&= 90\end{align}