Kevin has 18 unit cubes. How many different rectangular prisms can be built using all the cubes
The answer is 4
What is the 4th way???
1 by 1 by 18
9 by 2 by 1
3 by 3 by 2
Can you find others?
6 x 3 x 1
Okay so basically
18 x 1 = 18
9 x 2 = 18
6 x 3=18
3x3x2=18
so, the answer is 4 (4 equations)
the answers are
18
18
18
I don’t understand anything.It all different answers. Idk????????????????????????????????????🧐🧐🤨🤨😒😞☹️😩😫🤨🤯😳🧐Frustration!!!!!!!!!
The answer is 4
To find the number of different rectangular prisms that can be built using 18 unit cubes, we need to consider the possible dimensions of the rectangular prisms.
Since we have 18 unit cubes, let's start by considering the factors of 18: 1, 2, 3, 6, 9, and 18. These factors represent the possible dimensions for a rectangular prism using all the cubes.
For each factor, we can find the number of different rectangular prisms. To do this, we'll divide the total number of cubes (18) by the product of the two dimensions.
Let's go through each factor:
1: If one dimension is 1, the other dimension must be 18 (18 x 1 = 18). So there is only one rectangular prism in this case.
2: If one dimension is 2, the other dimension must be 9 (2 x 9 = 18). Again, we have only one possibility.
3: If one dimension is 3, the other dimension must be 6 (3 x 6 = 18). Again, we have only one possibility.
6: If one dimension is 6, the other dimension must also be 6 (6 x 6 = 36). However, since we only have 18 cubes, we can't build a rectangular prism with these dimensions.
9: If one dimension is 9, the other dimension must be 2 (9 x 2 = 18). We have only one possibility here.
18: If one dimension is 18, the other dimension must be 1 (18 x 1 = 18). Again, we have only one possibility.
So in total, we have 1 + 1 + 1 + 1 = 4 different rectangular prisms that can be built using all the cubes.