Question

2 what is the surface area of the right rectangular prism? show your work.

Explanation:

Step1: Recall surface - area formula

The surface - area formula 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: Identify the dimensions

Let $l = 10$ cm, $w = 7$ cm, and $h = 15$ cm.

Step3: Calculate the products inside the parentheses

$lw=10\times7 = 70$ cm², $lh = 10\times15=150$ cm², $wh=7\times15 = 105$ cm².

Step4: Add the products

$lw+lh + wh=70 + 150+105=325$ cm².

Step5: Multiply by 2

$SA = 2\times325=650$ cm².

Answer:

$650$ cm²