Question

The lateral area of a rectangular solid can be found using the following formula: LA = Ph, where Pis the perimeter of the base, and his the height.Find the lateral area of the solid when a = 5 in, b = 3 in, and c = 2 in.

Answer 1

Given:

The length, a=5 in.

The breadth, b=3 in.

The height, c=2 in.

To find the lateral surface area of the cuboid:

Using the formula,

$\begin{gathered} LA=\text{Perimeter}\times height \\ =2(a+b)c \\ =2(5+3)(2) \\ =(2)(8)(2) \\ =32\text{ square in.} \end{gathered}$

Hence, the lateral surface area of the cuboid is 32 square in.