Chapter 12, Problem 4MCQ

To determine

To calculate : The lateral area of the given diagram.

Answer to Problem 4MCQ

The lateral area of the given diagram would be $216m^2$

Explanation of Solution

Given information : A hexagonal base has a side length as $3m$ and the height of the prism is $12m$ .

  

Formula used : The lateral area can be calculated by multiplying the perimeter of the base by the height of the prism. $L=ph$ , Where $L$ is the lateral area $p$ is the perimeter and $h$ is the height of the prism.

Calculation : Calculate the lateral area.

The perimeter of the base would be the sum of the hexagonal sides $p=3+3+3+3+3+3=18m$

Now, the lateral area

  $L=ph$

  $\begin{array}{l}L=18\times 12\\ L=216m^2\end{array}$