Question

7
a box is to be wrapped in a shiny pink decorative paper.
the box is 9 inches long, 5 inches wide, and 4 inches high.
what is the minimum amount of decorative paper needed to cover the box?
answer:
in²

Explanation:

Step1: Recall surface area formula

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

Step2: Substitute given values

$l=9$, $w=5$, $h=4$. Plug in:
$SA = 2((9×5) + (9×4) + (5×4))$

Step3: Calculate inner terms

Compute each product:
$9×5=45$, $9×4=36$, $5×4=20$

Step4: Sum inner terms

Add the results:
$45 + 36 + 20 = 101$

Step5: Multiply by 2

Find total surface area:
$SA = 2×101 = 202$

Answer:

$202$ in²