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.

Respuesta :

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]

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