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: Recall lateral area formula

The lateral area of a rectangular prism is given by $L = 2(lh + wh)$, where $l$ = length, $w$ = width, $h$ = height.

Step2: Identify given values

$l = 8$ in, $w = 6$ in, $h = 5$ in

Step3: Substitute values into formula

$$\begin{align*} L &= 2((8\times5) + (6\times5))\\ &= 2(40 + 30)\\ &= 2\times70 \end{align*}$$

Step4: Calculate final value

$L = 140$ square inches (lateral area uses square units)

Answer:

140 square inches