SOLUTION: I have to draw up plans for a landscape design. I am going to design a hockey rink The rectangle shape is 2m longer then twice the width. I must choose an appropriate depth fo

Question 245953: I have to draw up plans for a landscape design. I am going to design a hockey rink
The rectangle shape is 2m longer then twice the width. I must choose an appropriate depth for my design element. What would that be?
What would be the formula for calculating the volume of material needed to fill my element?
Then I need to use the formula to calculate the volume of material needed for widths of 2m, 3m, 4m and 5m. Which width is better and why?
Many thanks for your help!!!!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You need to go find a website where hockey rink architects hang out. Those are the people who can tell you what an "appropriate depth for your design element" might be -- or which width is better (better for what?).

The only thing that I can help you with on this is the formula for the volume of a rectangular solid:

Where

is the length,

is the width, and

is the height (or in this case, the depth).

Since you have a relationship between length and width, you can rewrite this in terms of just the width and the depth:

You will probably need to make some adjustments to the volume because, if I'm not mistaken, hockey rinks have curved corners, hence the volume will be smaller than an equivalently dimensioned rectangular solid.

John

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