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 with length $l$, width $w$, and height $h$ is given by $L = 2h(l + w)$.

Step2: Substitute the given values

Here, $l = 8$ in, $w = 6$ in, and $h = 5$ in. Then $L=2\times5\times(8 + 6)$.
First, calculate the sum inside the parentheses: $8+6 = 14$ in.
Then, multiply by 2 and 5: $2\times5\times14=140$ square inches.

Answer:

140 square inches