Question

15 practice problems
2 a cereal box is 8 inches by 2 inches by 12 inches. what is its surface area? show your reasoning. if you get stuck, consider drawing a sketch of the box or its net and labeling the edges with their measurements.

Explanation:

Step1: Identify the dimensions

Let length $l = 8$ inches, width $w=2$ inches, height $h = 12$ inches.

Step2: Recall surface - area formula for a rectangular prism

The surface - area formula of a rectangular prism is $SA=2(lw + lh+wh)$.

Step3: Substitute the values into the formula

$SA = 2(8\times2+8\times12 + 2\times12)$.
First, calculate the products inside the parentheses:
$8\times2 = 16$, $8\times12=96$, $2\times12 = 24$.
Then, add them together: $16 + 96+24=136$.
Finally, multiply by 2: $SA=2\times136 = 272$ square inches.

Answer:

272 square inches