A company designs fish tanks of various sizes. Because of shipping restrictions, a fish tank's height...

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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 270 centimeters altogether (the total of all 5 edges). Q5.1 Part a) 1 Point 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 15 centimeters along one edge of the bottom, how tall can the fish tank be? (Don't forget to include units) Enter your answer here Q5.2 Part b) 1 Point What is the volume of the fish tank from Part a)? Enter your answer here Save Answer Q5.3 Part c) 6 Points Write a function to represent the volume of a fish tank with a SQUARE BASE of length for one edge, still using the total sum of the height and perimeter of the base equal to 270 inches altogether. After writing the equation, include a graph of the function in an appropriate window. Please select file(s) Select file(s) Save Answer Q5.4 Part d) 2 Points What dimensions of a fish tank with SQUARE BASE will give the maximum volume? And, what is the maximum volume? Enter your answer here Save Answer 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 270 centimeters altogether (the total of all 5 edges). Q5.1 Part a) 1 Point 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 15 centimeters along one edge of the bottom, how tall can the fish tank be? (Don't forget to include units) Enter your answer here Q5.2 Part b) 1 Point What is the volume of the fish tank from Part a)? Enter your answer here Save Answer Q5.3 Part c) 6 Points Write a function to represent the volume of a fish tank with a SQUARE BASE of length for one edge, still using the total sum of the height and perimeter of the base equal to 270 inches altogether. After writing the equation, include a graph of the function in an appropriate window. Please select file(s) Select file(s) Save Answer Q5.4 Part d) 2 Points What dimensions of a fish tank with SQUARE BASE will give the maximum volume? And, what is the maximum volume? Enter your answer here Save Answer