A company produces cardboard boxes with the top, bottom and sides measuring 5 feet. It costs the company 4 cents a square foot to make each box. The square footage is determined by finding the area of all six sides of the box. Find the cost to make 100 boxes.
A side has 5x5=25 square feet.
A box has 6 sides.
6 x 25 = 150 square feet.
4 cents per foot :
150 x 4 = 600 cents = $6 per boxes
100 boxes : 6 x 100 = 600$ total.
Those are some costly boxes. Then again, they are very big boxes.
To find the cost of making 100 boxes, we need to determine the total square footage of 100 boxes and then multiply it by the cost per square foot.
First, we need to calculate the total square footage of one box by finding the area of all six sides. Since the top and bottom both measure 5 feet by 5 feet, each has an area of 5 * 5 = 25 square feet.
The sides of the box are rectangular, with a length of 5 feet and a height of 5 feet. So, each side has an area of 5 * 5 = 25 square feet.
Since there are four sides, the total area of the sides is 4 * 25 = 100 square feet.
Thus, the total square footage of one box is 2 * (25 + 100) = 250 square feet.
Now we can calculate the total square footage for 100 boxes. We multiply the square footage of one box by 100:
250 square feet * 100 boxes = 25000 square feet.
Finally, to find the cost to make 100 boxes, we multiply the total square footage (25000 square feet) by the cost per square foot (4 cents):
25000 square feet * $0.04 per square foot = $1000.
Therefore, the cost to make 100 boxes is $1000.