Chapter 12, Problem 2CR

To determine

To find: The lateral area of a right octagonal prism with height $12$ and base edge $7$ .

Answer to Problem 2CR

Thelateral area of the right octagonal prism is $672$ square units.

Explanation of Solution

Given information:

The height of the octagonal prismis $12$ and the base edge is $7$ .

Calculation:

Since, an octagonal prism has eight sides. Calculate the perimeter of the octagonal prism.

  $\begin{array}{c}\text{Perimeter}=8\times 7\\ =56\text{units}\end{array}$

Write the expression to calculate the lateral area.

  $\text{Lateral}\text{area}=\text{Perimeter}\times h$

Where,

• $h$ is the height of the prism.

Substitute $12$ for $h$ and $56$ for perimeterin the above equation.

  $\begin{array}{c}\text{Lateral}\text{area}=56\times 12\\ =672\text{square}\text{units}\end{array}$

Therefore, the lateral area of the right octagonal prism is $672$ square units.