Question

LeAnn is purchasing.giftwrap for a box that measures 8 inches long, 6 inches wide, and 6 inches tall. Calculate the total area of the box that will be covered in.giftwrap. Show all of your work for full credit.

Answer 1

The total area of the box that will be covered in gift wrap is
`264\ in^2`

Explanation:

we know that

The surface area of a box is equal to

`SA=2B+PH`

where

B is the area of the base

P is the perimeter of the base

H is the height of the box

we have

`L=8\ in\\W=6\ in\\H=6\ in`

step 1

Find the area of the base

The area of the base is equal to

`B=LW`

substitute the values

`B=(8)(6)=48\ in^2`

step 2

Find the perimeter of the base

`P=2(L+W)`

substitute the values

`P=2(8+6)=28\ in`

step 3

Find the surface area

`SA=2(48)+28(6)`

`SA=264\ in^2`