Question

4.6 surface area of prisms and cylinders
a box needs to be painted. how many square inches need to be pained to cover the entire surface of the box?
6 in.
12 in.
15 in.
inches squared

Explanation:

Step1: Identify surface - area formula

The surface - area formula for 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 values

Here, $l = 15$ in, $w = 12$ in, and $h = 6$ in. So $SA=2(15\times12 + 15\times6+12\times6)$.

Step3: Calculate products inside parentheses

$15\times12 = 180$, $15\times6 = 90$, and $12\times6 = 72$. Then $SA = 2(180 + 90+72)$.

Step4: Add values inside parentheses

$180 + 90+72=342$. So $SA = 2\times342$.

Step5: Calculate final result

$2\times342 = 684$.

Answer:

684