Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

surface area 7 ft 12 ft 2 ft for the rectangular prism a

Question

surface area
7 ft
12 ft
2 ft
for the rectangular prism a

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, $l = 12$ ft, $w = 2$ ft, and $h = 7$ ft.

Step2: Calculate $lw$

$lw=12\times2 = 24$ square - feet.

Step3: Calculate $lh$

$lh = 12\times7=84$ square - feet.

Step4: Calculate $wh$

$wh=2\times7 = 14$ square - feet.

Step5: Substitute into formula

$SA=2(24 + 84+14)$.
First, add the values inside the parentheses: $24 + 84+14=122$.
Then, multiply by 2: $SA = 2\times122=244$ square - feet.

Answer:

244 square feet