Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

answer attempt 1 out of 2 in² submit answer

Question

answer attempt 1 out of 2 in² submit answer

Explanation:

Step1: Recall surface - area formula for a rectangular prism

The formula for the surface area 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, $l = 5$ in, $w = 3$ in, and $h = 4$ in.

Step2: Calculate $lw$

$lw=5\times3 = 15$ in²

Step3: Calculate $lh$

$lh = 5\times4=20$ in²

Step4: Calculate $wh$

$wh=3\times4 = 12$ in²

Step5: Calculate $lw + lh+wh$

$lw + lh+wh=15 + 20+12=47$ in²

Step6: Calculate the surface area

$SA = 2\times47=94$ in²

Answer:

94