Question

Mrs. Chen's students are making and decorating gift boxes for a nursing home. If the boxes are 7 inches wide, 7 inches long, and 7 inches high, how much cardboard is needed for each box

Answer 1

`84\text{ in}^2`.

Explanation:

We have been given that Mrs. Chen's students are making and decorating gift boxes for a nursing home. The boxes are 7 inches wide, 7 inches long, and 7 inches high. We are asked to find the amount of cardboard that is needed for each box.

We will use surface area of cuboid formula to solve our given problem.

`SA=2(lw+lh+hw)`, where,

l = Length,

w = Width,

h = Height

`SA=2(7\text{ in}\cdot7\text{ in} +7\text{ in}\cdot7\text{ in}+7\text{ in}\cdot7\text{ in})`

`SA=2(14\text{ in}^2+14\text{ in}^2+14\text{ in}^2)`

`SA=2(42\text{ in}^2)`

`SA=84\text{ in}^2`

Therefore, Mrs Chen needs 84 square inches of cardboard.