Question

a rectangular prism is shown below. 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 $l = 10$ mm, $w = 5$ mm, and $h = 3$ mm.

Step2: Calculate $lw$

$lw=10\times5 = 50$ mm².

Step3: Calculate $lh$

$lh = 10\times3=30$ mm².

Step4: Calculate $wh$

$wh = 5\times3 = 15$ mm².

Step5: Substitute into formula

$SA=2(50 + 30+15)$.
First, add the values inside the parentheses: $50 + 30+15=95$ mm².
Then, multiply by 2: $SA = 2\times95=190$ mm².

Answer:

190