The variable x varies directly as the cube of y, and y varies directly as the square root of z. If x equals 1 when z equals 4, what is the value of z when x equals 27?
Similar to other questions posted with this scenario:
x = k y^3 and y = k sqrt z combined to be x = k (sqrt z)^3 when z = 4 x =1 means k = 1/8
x = 1/8 (sqrt z)^3
27 = 1/8 (sqrt z)^3