Huong covered a box with sticky-backed decorating paper. The paper costs $.03 per square inch. How much money will Huong need to spend on paper if the height of the box is 9 inches, width is 3 inches, and the length is 7 inches?
Please show full work. Thank you.
To find the cost of the sticky-backed decorating paper, we need to calculate the total area of the box first.
The formula to calculate the surface area of a rectangular box is:
Surface Area = 2lw + 2lh + 2wh
where:
l = length
w = width
h = height
Plugging in the given values, we get:
Surface Area = 2(7)(3) + 2(7)(9) + 2(3)(9)
= 42 + 126 + 54
= 222 square inches
Now, we can calculate the cost of the paper by multiplying the total area by the cost per square inch:
Cost of Paper = Total Area × Cost per Square Inch
= 222 × $0.03
= $6.66
Therefore, Huong will need to spend $6.66 on paper to cover the box.