Question

find the lateral area, surface area, and volume of the following figure. leave answer in simplest radical form or in terms of pi. round to the nearest tenth. Solve for the lateral surface area

Answer 1

Given:

The dimensions of the rectangular prism :

length(l)= 5 in

width (w) = 2 in

height (h) = 3 in

The formula for the lateral surface area L.A of a rectangular prism is:

`L.A\text{ = 2\lparen l + w\rparen h}`

Substituting the given values into the formula:

`\begin{gathered} L.A\text{ = 2}*\text{ \lparen5 + 2\rparen }*\text{ 3} \\ =\text{ 42 in}^2 \end{gathered}`

Answer: 42 square inch