Question

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 for a rectangular prism with length $l$, width $w$, and height $h$ is $SA = 2(lw+lh + wh)$. Let $l = 13$ mm, $w = 11$ mm, and $h = 10$ mm.

Step2: Calculate $lw$

$lw=13\times11 = 143$ mm².

Step3: Calculate $lh$

$lh = 13\times10=130$ mm².

Step4: Calculate $wh$

$wh=11\times10 = 110$ mm².

Step5: Calculate sum inside parentheses

$lw+lh + wh=143 + 130+110=383$ mm².

Step6: Calculate surface area

$SA = 2\times383=766$ mm².

Answer:

766