Question

3 mm
2 mm
5 mm
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 $SA = 2(lw+lh + wh)$. Here, $l = 5$ mm, $w = 2$ mm, and $h = 3$ mm.

Step2: Calculate $lw$

$lw=5\times2 = 10$ mm².

Step3: Calculate $lh$

$lh = 5\times3=15$ mm².

Step4: Calculate $wh$

$wh=2\times3 = 6$ mm².

Step5: Substitute into formula

$SA=2(10 + 15+6)$.

Step6: Simplify the expression inside the parentheses

$10 + 15+6=31$ mm².

Step7: Multiply by 2

$SA = 2\times31=62$ mm².

Answer:

62