Question

an 8 inch by 6 inch rectangle is the base of the rectangular prism below. what is the lateral area of the figure? 140 square inches 140 inches 236 square inches 236 inches

Explanation:

Step1: Identify the formula for lateral - area of a rectangular prism

The lateral - area \(L\) of a rectangular prism is given by \(L = 2h(l + w)\), where \(h\) is the height, \(l\) is the length, and \(w\) is the width.

Step2: Substitute the given values

Here, \(h = 5\) inches, \(l = 8\) inches, and \(w = 6\) inches.
\[

$$\begin{align*} L&=2\times5\times(8 + 6)\\ &=10\times14\\ &=140 \end{align*}$$

\]
Since we are finding an area, the unit is square inches.

Answer:

140 square inches