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 formula for the surface area of a rectangular prism is:
Surface area = (Area of side "x * y" x 2) + (Area of side "x * z" x 2) + (Area of side "y * z" x 2)


`SA = [(l*w) * 2]+[(l*h)*2]+[(w*h)*2]\\SA=[(8\ in*6\ in)*2]+[(8\ in*6\ in)*2]+[(6\ in*6\ in)*2]\\SA=(48\ in^(2)*2)+(48\ in^(2)*2)+(36\ in^(2)*2)\\SA=96\ in^(2)+96\ in^(2)+72\ in^(2)\\\\SA=264\ in^{2]`

Thus, the surface area of the box's gift-wrap is 264 in².