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 15.75 ft.² 31.5 ft.² 22.5 ft.²

Explanation:

Step1: Recall surface area formula

The surface area \( S \) of a rectangular prism is \( S = 2(lw + lh + wh) \), where \( l=2.5 \, \text{ft} \), \( w=1.5 \, \text{ft} \), \( h=3 \, \text{ft} \).

Step2: Calculate each face area sum

First compute \( lw = 2.5 \times 1.5 = 3.75 \), \( lh = 2.5 \times 3 = 7.5 \), \( wh = 1.5 \times 3 = 4.5 \).
Sum: \( 3.75 + 7.5 + 4.5 = 15.75 \)

Step3: Multiply by 2 for total surface area

\( S = 2 \times 15.75 = 31.5 \)

Answer:

31.5 ft.²