A company designs fish tanks of various sizes. Because of shipping restrictions, a fish tank's height (1 vertical edge) and the entire perimeter of the base (4 edges along the bottom) cannot be more than 300 centimeters altogether (the total of all 5 edges). Suppose the company wants to ship a fish tank that has a SQUARE BASE (the dimensions of the bottom of the fish tank are equal, similar to the image above). If the fish tank has a length of 45 centimeters along one edge of the bottom, how tall can the fish tank be? What is the volume of the fish tank? Write a function to represent the volume of a fish tank with a SQUARE BASE of length xx for one edge, still using the total sum of the height and perimeter of the base equal to 300 centimeters altogether. What dimensions of a fish tank with SQUARE BASE will give the maximum volume? And, what is the maximum volume?
A company designs fish tanks of various sizes. Because of shipping restrictions, a fish tank's height (1 vertical edge) and the entire perimeter of the base (4 edges along the bottom) cannot be more than 300 centimeters altogether (the total of all 5 edges).
Suppose the company wants to ship a fish tank that has a SQUARE BASE (the dimensions of the bottom of the fish tank are equal, similar to the image above). If the fish tank has a length of 45 centimeters along one edge of the bottom, how tall can the fish tank be?
What is the volume of the fish tank?
Write a function to represent the volume of a fish tank with a SQUARE BASE of length xx for one edge, still using the total sum of the height and perimeter of the base equal to 300 centimeters altogether.
What dimensions of a fish tank with SQUARE BASE will give the maximum volume? And, what is the maximum volume?
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