I have a sematic difficultly with your problem. Your question states:
If one pound equals two cups of water and you have 225 gallons to displace 5.5
My issue is 5.5 what? Is it pounds? Cubic inches? Cubic Feet? There are no units and it is also somewhat unclear if this is the end of the sentence.
Additionally, I am confused by this phrase: but need something that weighs 23 to 37lb per square feet to be bigger than 56 by 16 by 30 and displace more water than it weighs by at least 100 lb what would be the dimensions of this new object
What do you mean by; "weighs 23 to 37 lb per square foot"? Do you mean an object that applies a pressure of 23 to 37 pounds per square foot[area] or has a density of 23 to 37lb per cubic foot [volume]? If the units are for pressure, then you should label and identify which dimensions are lenght and width.
By "to be bigger" do you mean, an object that has larger dimensions than ... and displaces more water than it weighs (Again what do you mean? What is "it"? Is "it" the weight of the object or the weight of the displaced water?) Can I assume that the second set of dimensions are in inches?
Could you please:
- Label all your units.
- Use punctuation marks to break up each idea and question.
- Use the proper terminology.
Are you looking for density of the object ("something that weighs")? If so, this is a density and will be in pounds per cubic feet.
However, I will try to break down your problem as far as I can by using the available clear information.
1 lb = 2 cups of water; 2 cups = 1 pint; 8 pints = 1 gallon and 2 cups = 1 lb = 1 pint
Then 1 gallon (8 pints) = 8 lb
Then 225 gallons of water converted to pounds of water would be: 8 lb/gallon X 225 gallons = 1800 lbs
Since the box you have that is 56 in x 16 in x 30 in, which displaces 26,880 in3
or 15.56 ft3 in volume.
Here is where the lack of clarity and units becomes a real problem:
"you have 225 gallons to displace 5.5"; This is point that stops everything. The rest of the problem is totally opaque.
What are you looking for in the end? Is it the volume of the object that displace more than 1,000 pounds of water?
Your question is very poorly written (I can assme that you put it up as it was given to you). If you can get a copy of this question that more clearly articulated, using the proper terminology. I am sure I can assist you. Until then...