A swimming pool in the shape of a rectangular prism has a bottom, no top, two square sides, and two rectangular sides with a length equal to twice the length of the square sides. All four sides share a common height. The total area of the five sides is 288 ft^2. Find the volume of the swimming pool.
Area of square sides x *x = x^2 and there are 2 of them so 2x^2 ft^2
rectangular sides 2x * x = 2x^2 and there are two of them = 4x^2 ft^2
area of bottom = x * 2x = 2x^2 ft^2
all added together = 288 ft^2
8x^2 = 288
x= 6 ft
Volume = length x w x depth
= 2(6) * 6 * 6 = 4752 ft^3