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Chapter 12: Q13. (page 478)

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.

Short Answer

Expert verified

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

Step by step solution

01

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.

02

Step 2. Write the concept.

The lateral area of the prism is given by:

L.A.=Perimeter脳Height

03

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}

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