Chapter 12.6, Problem 27SR

To determine

Calculate lateral and surface area rectangular prism given,

  

Answer to Problem 27SR

Lateral are of rectangular prism= $240i{n}^2$

Surface area of rectangular prism = $114i{n}^2$

Explanation of Solution

Given:

  

Calculations:

Here, we have to calculate lateral and surface area of rectangular prism.

We know that, surface area of rectangular prism is calculated as,

  $\begin{array}{l}Surfacearea=2(width\times length)+2(length\times height)\\ =2(7\times 12)+2(12\times 3)\\ =168+72\\ =240i{n}^2\end{array}$

Lateral area is the multiplication of perimeter of base and height of prism.

Perimeter of rectangle is given as,

  $\begin{array}{l}Perimeterofrec\tan gle=2(length+breadth)\\ =2(7+12)\\ =38in\end{array}$

  $\begin{array}{l}Lateralareaoftriangularprism=perimeter\times height\\ =38\times 3\\ =114i{n}^2\end{array}$

Conclusion:

Therefore, we are able to calculate lateral and surface area of rectangular prism using simple formula.