Suppose you plan to make a box that will hold exactly 40 one-inch cubes.
what are some demensions of all the possible boxes you can make?
I thought of 2 but i can't think of anymore. Here's what I have, are they right?
L= 10 W= 2 H= 2
L= 5 W= 4 H= 2
Can you please think of more/
Please help!
thank you!
You're on the right track. :-)
40 by 1 by 1
5 by 8 by 1
That's all I can think of. But you can keep trying different factors of 40.
20 by 2 by 1
thank you! Um... It said we have to make as much as possible. Is this it?
okay thank you so much!
You're very welcome.
poop
To find the possible dimensions of the box that can hold exactly 40 one-inch cubes, we need to consider the factors of 40. The factors of 40 include: 1, 2, 4, 5, 8, 10, 20, and 40.
Let's go through each possibility and see if it can form a box:
1. L=40, W=1, H=1: This gives a long, narrow box that doesn't seem practical.
2. L=20, W=2, H=1: This gives a flatter box but still not convenient.
3. L=10, W=4, H=1: This gives a box with a larger base that can hold 40 cubes, so this is a possible solution.
4. L=8, W=5, H=1: This gives a slightly wider but shorter box, which can also hold 40 cubes.
5. L=5, W=4, H=2: This is one of the possibilities you mentioned and is a valid solution. It gives a box with a smaller base but a taller height.
6. L=4, W=5, H=2: This is the same as the previous solution, just rotated.
7. L=2, W=10, H=2: This gives a longer but much flatter box than the others.
8. L=1, W=40, H=1: This is the most impractical solution as it would be like a long strip.
So, the possible dimensions for a box that can hold exactly 40 one-inch cubes are:
- L=10, W=4, H=1
- L=8, W=5, H=1
- L=5, W=4, H=2
- L=4, W=5, H=2
These dimensions will allow you to create a box that can accommodate 40 one-inch cubes.