Chapter 12.5, Problem 1CYU

To determine

The lateral and surface area of the prism.

  

Answer to Problem 1CYU

The lateral is $L=108i{n}^2$

The surface of area is $S=268i{n}^2$

Explanation of Solution

Given:

  

Concept Used:

Lateral :

  $2\left(length+breadth\right)\times height$

Surface Area:

  $2\times length\times breadth\times height$

Calculation:

  

  $L=Ph$

  $\begin{array}{l}=2\left(10+8\right)\left(3\right)\\ =2\left(18\right)\left(3\right)\\ =108i{n}^2\end{array}$

Surface of Area:

  $S=Ph+2B$

  $\begin{array}{l}=108+2\left(10\right)\left(8\right)\\ =108+160\\ =268i{n}^2\end{array}$

Conclusion:

Hence, the lateral is $L=108i{n}^2$

The surface of area is $S=268i{n}^2$