Answer:
There are 5 different sized paving stones that can have a volume of 360 in³.
Step-by-step explanation:
Volume = Area x height.
We are given;
volume; V = 360 in³
Height; h = 3 in
Thus, 360 = A x 3
A = 360/3 = 120 in²
This is the area of the base, so we need to find the number of different stones which have a base area of 120 in².
Let's list all the factors of 120 which are;
1,2,3,4,5,6,10,12,20,24,30,40,60,120
The question says we shouldn't use 1 or 2 in inches as length and width.
Leaving us with the remaining listed factors.
So the pair of factors that give and area of 120 are;
Size;
3 x 40
4 x 30
5 x 24
6 x 20
10 x 12
Thus, there are 5 different sized paving stones that can have a volume of 360.
