The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet?

GMAT QUANT Geometry Questions volume . Difficulty: 600 – 700 Level, Geometry, Source: Problem Solving

The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet?

A. CUBIC ROOT OF X

B. CUBIC ROOT OF (2X/3)

C. CUBE ROOT OF (3X/2)

D. (2/3) CUBE ROOT OF X

E. (3/2) CUBE ROOT OF X