Answer:
18600 square inches
Explanation:
To find the number of square inches of cardboard will the factory need to build 50 boxes, we find the total surface area of the cereal box which is A = 2(lw + lh + hw) where l = length of box = 10 inches, w = width of box = 3 inches and h = height of box = 12 inches.
Substituting the values of the dimensions into A, we have
A = 2(lw + lh + hw)
= 2(10 × 3 + 10 × 12 + 12 × 3) in²
= 2(30 + 120 + 36) in²
= 2(186) in²
= 372 in²
So, the area of one box is 372 in². The area of 50 boxes is thus, area of one box × 50 = 372 in² × 50 = 18600 in²
So we require 18600 square inches of cardboard to build 50 boxes.