Question

1. a rectangular prism is shown below. 4) which diagram is a net for this prism? 4) what is the surface area of the rectangular prism? square centimeters

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, $l = 13$ cm, $w = 5$ cm, and $h = 14$ cm.

Step2: Calculate $lw$

$lw=13\times5 = 65$ cm²

Step3: Calculate $lh$

$lh=13\times14 = 182$ cm²

Step4: Calculate $wh$

$wh=5\times14 = 70$ cm²

Step5: Substitute into formula

$SA = 2(65 + 182+70)$
$SA = 2\times317$
$SA = 634$ cm²

Answer:

634