Question

finally, you want to make your own storage box to hold all of your streaming equipment and design tools. your box should be 2.5 feet long, 1.5 feet wide, and 3 feet high. what will be the surface area of your storage box? 11.25 ft.² 31.5 ft.² 22.5 ft.² 15.75 ft.²

Explanation:

Step1: Recall surface - area formula for rectangular prism

The surface - area formula of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is length, $w$ is width, and $h$ is height.

Step2: Substitute given values

Given $l = 2.5$ ft, $w = 1.5$ ft, and $h = 3$ ft. First, calculate $lw$, $lh$, and $wh$:
$lw=2.5\times1.5 = 3.75$
$lh=2.5\times3 = 7.5$
$wh=1.5\times3 = 4.5$

Step3: Calculate sum inside parentheses

$lw + lh+wh=3.75 + 7.5+4.5=15.75$

Step4: Multiply by 2

$SA = 2\times15.75=31.5$ ft²

Answer:

$31.5$ ft²