G Guest Guest Nov 22, 2005 #1 If the surface area of a square prism is 54 cm^2, find the dimensions of the prism which has maximum volume. thanks in advance. Geovanny Navarro-Bustos
If the surface area of a square prism is 54 cm^2, find the dimensions of the prism which has maximum volume. thanks in advance. Geovanny Navarro-Bustos
G Gene Senior Member Joined Oct 8, 2003 Messages 1,904 Nov 22, 2005 #2 The sides of the square are s. The length = l. The area = 2s² + 4sl = 54 The volume = s²l Solve the first for l Substitute for l in the second. Take dv/ds = 0 and solve for s Solve for l
The sides of the square are s. The length = l. The area = 2s² + 4sl = 54 The volume = s²l Solve the first for l Substitute for l in the second. Take dv/ds = 0 and solve for s Solve for l
