a shoebox for boots is 24 in long 12in wide and 8 in deep. The Shoe Box manufacturer uses an additional 10% of cardboard for the overlap in the Box. How many square inches of cardboard are needed to make the box?

1267.2 Square Inches

Step-by-step explanation:

The dimensions of the box are:

Length (L) = 24 Inch Width (W) = 12 Inch Depth (H) = 8 Inch

Since our goal is to determine how many square inches of cardboard is needed to make the box, we find the Total Surface Area of the box.

Total Surface Area of a Cuboid = 2 (LW+LH+WH)

Total Surface Area of the box = 2 (24*12+24*8+12*8)

=2 (288+192+96)

=2 (576)

Total Surface Area of the box=1152 Square Inches

Since the manufacturer uses an additional 10% of cardboard for the overlap in the Box,

Number of Square Inches needed to make the box = 1152 + (10% of 1152)

=1152 + (0.1 X 1152)

=1152+115.2

=1267.2 Square Inches

The manufacturer needs 1267.2 Square Inches of cardboard to make the box.