Question

A company makes concrete paving stones in different sizes. Each stone has a volume of 360 inches and a height of 3 inches. the stones have different lengths and widths. how many different paving stones each with different base and a volume of of 360 cubic inches?

Answer 1

I got 6 but I'm not 100% sure if its right.

Answer 2

The answer is 6.

Explanation:

Given is that the total volume is 360 cubic inches

The height is fixed at 3 inches

So, total area will be =
`(360)/(3)=120` square inches.

Let's assume the minimum size in any dimension to be 3 inches.

Now we have to find possible combinations of numbers greater than 2 that will make 120. So, we have

3 x 40

4 x 30

5 x 24

6 x 20

8 x 15

10 x 12

These have the same answer in reverse order as well. So we will consider these.

Therefore, there are 6 different paving stones with different base.