Question

two types of shipping boxes are shown below.
box j
box f
what is the difference in the surface areas, in square feet, of the two boxes?
a 2
b 3
c 21
d 30

Explanation:

Step1: Calculate Box J surface area

Surface area of rectangular prism: $2(lw + lh + wh)$
$l=4.5, w=3, h=2$
$2((4.5×3)+(4.5×2)+(3×2)) = 2(13.5+9+6) = 2×28.5 = 57$

Step2: Calculate Box F surface area

Surface area of cube: $6s^2$
$s=3$
$6×3^2 = 6×9 = 54$

Step3: Find surface area difference

$|57 - 54| = 3$

Answer:

B. 3