Question

A shoe box is 10 inches long and 6 inches wide. It is 3 inches tall. Sage is wrapping the shoe box and determined that she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap. How many square inches of gift wrap does she need?

Answer 1

Answer: $360\ in^2$

Step-by-step explanation:

For this exercise you need to use the folllowing formula for calculate the Surface area of a Rectangular prism:

$SA = 2wl + 2lh + 2hw$

Where "l" is the length, "w" is the width and "h" is the height of the prism.

In this case you can identify that:

$l=10\ in\\\\w=6\ in\\\\h=3\ in$

Therefore, substituting values, you get that the surface area of the shoe box is:

$SA = 2(6\ in)(10\ in) + 2(10\ in)(3\ in) + 2(10\ in)(6\ in)\\\\SA=300\ in^2$

The 20% of this surface area is:

$(300\ in^2)(0.20)=60\ in^2$

Since she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap, you get that total amount of square inches of gift wrap that she needs is:

$Total=300\ in^2+60\ in^2=360\ in^2$