Chapter 12, Problem 10PT

To determine

To calculate:To find the lateral and surface area of solid

Answer to Problem 10PT

The lateral surface area of prism is $240c{m}^2$ and total surface area of prism is $288c{m}^2$

Explanation of Solution

Given information:Solid is

  

Formula Used:

Lateral surface area of prism is calculated as

  $LSA=Perimeterofbase\times Height$

Total surface area of prism is calculated as

  $SA=LSA+2\left(Areaofbase\right)$

Calculation:

Solid is given as

  

Lateral surface area of prism is calculated as

  $LSA=Perimeterofbase\times Height$

Substituting the values

  $\begin{array}{l}LSA=\left(10+6+8\right)\times 10\\ LSA=24\times 10\\ LSA=240c{m}^2\end{array}$

Total surface area of prim is calculated as

  $SA=LSA+2\left(Areaofbase\right)$

Substituting the values

  $\begin{array}{l}SA=240+2\left(\frac{1}{2}\times 6\times 8\right)\\ SA=240+\left(6\times 8\right)\\ SA=240+48\\ SA=288c{m}^2\end{array}$

Conclusion:

Hence,lateral surface area is $240c{m}^2$ total surface area is $288c{m}^2$