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? 31.5 ft.² 15.75 ft.² 11.25 ft.² 22.5 ft.²

Explanation:

Step1: Recall the surface area formula for a rectangular prism

The formula for the surface area \(S\) of a rectangular prism is \(S = 2(lw+lh + wh)\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(l = 2.5\) ft, \(w=1.5\) ft, \(h = 3\) ft.
First, calculate \(lw\): \(lw=2.5\times1.5 = 3.75\)
Then, calculate \(lh\): \(lh=2.5\times3=7.5\)
Next, calculate \(wh\): \(wh=1.5\times3 = 4.5\)
Then find \(lw+lh+wh\): \(3.75 + 7.5+4.5=15.75\)
Finally, multiply by 2: \(S = 2\times15.75\)
\(S=31.5\)

Answer:

\(31.5\space ft^{2}\) (the first option)