Answer:
1267.2 Square Inches
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.