which diagram is a net for this prism? what is the surface area of the rectangular prism? square millimeters

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. Here, $l = 15$ mm, $w = 4$ mm, and $h = 6$ mm.

Step2: Calculate $lw$

$lw=15\times4 = 60$ mm².

Step3: Calculate $lh$

$lh = 15\times6=90$ mm².

Step4: Calculate $wh$

$wh = 4\times6 = 24$ mm².

Step5: Substitute into formula

$SA=2(60 + 90+24)$. First, add the values inside the parentheses: $60 + 90+24=174$ mm². Then, multiply by 2: $SA = 2\times174=348$ mm².

Answer:

348