Question

the surface area of the solid shown is square inches. (ma 912.gr.4.6) 12 in. 8 in. 6 in.

Explanation:

Step1: Identify surface - area formula for rectangular prism

The formula for the surface area of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Substitute the given values

Let $l = 8$ in, $w = 6$ in, and $h = 12$ in. Then $SA=2(8\times6 + 8\times12+6\times12)$.

Step3: Calculate the products inside the parentheses

$8\times6 = 48$, $8\times12 = 96$, and $6\times12 = 72$. So $SA = 2(48 + 96+72)$.

Step4: Calculate the sum inside the parentheses

$48+96 + 72=216$. So $SA = 2\times216$.

Step5: Calculate the final result

$2\times216 = 432$.

Answer:

432