How many different rectangular prisms with a volume of 18 cm3 can you build using only whole number dimensions?
18 = 1*2*3*3
using 3 of those at a time to get 18 .....
1*2*9
1*3*6
2*3*3
I don't know it
To find the number of different rectangular prisms with a volume of 18 cm³ using only whole number dimensions, we first need to understand the factors of 18. The prime factorization of 18 is 2 × 3².
To calculate the number of different rectangles, we need to consider all possible combinations of these factors that satisfy the condition of a volume of 18 cm³.
Here are the factors of 18:
1 × 18
2 × 9
3 × 6
Now, let's consider each factor combination and calculate the number of different rectangular prisms:
1 × 18: This combination results in a single rectangular prism. (1 dimension is fixed, and the other two dimensions can vary.)
2 × 9: Again, this combination results in a single rectangular prism. (1 dimension is fixed, and the other two dimensions can vary.)
3 × 6: Once more, this combination results in a single rectangular prism. (1 dimension is fixed, and the other two dimensions can vary.)
So, the total number of different rectangular prisms with a volume of 18 cm³ using only whole number dimensions is 3.