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). a. 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) b. What is the volume of the fish tank from Part a)? c. Write a function to represent the volume of a fish tank with a SQUARE BASE of length �x for one edge, still using the total sum of the height and perimeter of the base equal to 270 centimeters altogether. After writing the equation, include a graph of the function in an appropriate window. d. What dimensions of a fish tank with SQUARE BASE will give the maximum volume? And, what is the maximum volume?
Q2 Polynomial Function
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).
a.
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)
b.
What is the volume of the fish tank from Part a)?
c.
Write a function to represent the volume of a fish tank with a SQUARE BASE of length �x for one edge, still using the total sum of the height and perimeter of the base equal to 270 centimeters altogether. After writing the equation, include a graph of the function in an appropriate window.
d.
What dimensions of a fish tank with SQUARE BASE will give the maximum volume? And, what is the maximum volume?
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 2 images
