Question

A company makes concrete paving stones in different sizes. Each stone has a volume of 360 cubic inches and a height of 4 inches.

How many different paving stones could be made if any whole number length and width are possible? different stones could be made. Suppose that the cost of a paving stone is $2.50, plus $0.16 for every 4 cubic inches of concrete. How much would each paving stone cost? Each paving stone would cost $

Answer 1

6 different paving stones could be made.

Each paving stone would cost $16.90.

Explanation:

Divide the volume by the height to find the area of the base.

360 cu in. / 4 in. = 90 sq in.

The area of the base is 90 sq in.

Now we need to find all the pairs of positive integers whose product is 90 to find the number of different possible combinations of length and width of the base.

90 =

= 90 * 1

= 45 * 2

= 30 * 3

= 18 * 5

= 15 * 6

= 10 * 9

Answer: 6 different paving stones could be made.

Cost:

$2.50 + $0.16 * 360 cu in. / 4 cu in. = $16.90

Answer: Each paving stone would cost $16.90

Answer 2

5 different sized paving stones