Answer the questions

lee the following information to answer #28-29. A company is designing a tent in the shape of a triangular prism. The trangles formed by the sides of the tent are equilateral. Each tent should use 250 square feet of material. 28. The surface area S of a triangular prism is given by s = 3x/ + 13x2, where x is the side lengths of the triangle and I is the length of the tent. Substitute 250 for S and then write an expression for I in terms of x. 29. The volume V of the tent is given by V = 13 x2 1. Write a polynomial function that gives V as a function in terms of x only. Simplify all terms. 30. Find the value of x that maximizes the volume of the tent. Then state the maximum volume. Round to the nearest thousandth. X: Maximum Volume