Answer:
The total area of the box that will be covered in gift wrap is [tex]264\ in^2[/tex]
Step-by-step explanation:
we know that
The surface area of a box is equal to
[tex]SA=2B+PH[/tex]
where
B is the area of the base
P is the perimeter of the base
H is the height of the box
we have
[tex]L=8\ in\\W=6\ in\\H=6\ in[/tex]
step 1
Find the area of the base
The area of the base is equal to
[tex]B=LW[/tex]
substitute the values
[tex]B=(8)(6)=48\ in^2[/tex]
step 2
Find the perimeter of the base
[tex]P=2(L+W)[/tex]
substitute the values
[tex]P=2(8+6)=28\ in[/tex]
step 3
Find the surface area
[tex]SA=2(48)+28(6)[/tex]
[tex]SA=264\ in^2[/tex]