Find all possible dimensions, given volume, length, shape

[Lolla]

A container is a volume 1 m3 and it is a rectangular prism, And the length of the container is 200 cm, What are all the possible dimensions of the container? They are all in whole numbers

 

[Loren]

Re: Exstremely Hard question I cant figure out

The area of the side of the prism times 200 square centimeters equals 1 cubic meter. 1 cubic meter = 100^3 cubic centimeters. Therefore if we call the sides of the side x and y we know that 200xy=1000000.
Now, go to work and use brute force to figure out all the values for x and y that meet the conditions of your problem. It may help to realize that 5000 = 2 x 2 x 2 x 5 x 5 x 5 x 5.

 

[stapel]

A container is a volume 1 m3 and it is a rectangular prism, And the length of the container is 200 cm, What are all the possible dimensions of the container? They are all in whole numbers

What is the formula for the volume of a rectangular prism?

Into this formula, plug the given value for the volume V and the given value for the length L.

What then is the value of the product of the width w and the height h?

Given that w and h may take on only whole-number values, what are the possible pairs of values for w and L?

If you get stuck, please reply with your answers to the above, along with a clear listing of your work and reasoning so far. Thank you!

Eliz.