The dimensions of a rectangular parallelepiped are in the proportion of 3:4:5. If its volume is 480 cm³, what is its largest dimension?
Show answer & explanation
Correct answer: C
Explanation
Ratio of dimensions = 3 : 4 : 5, Volume = 480 cm³
Volume = l × b × h
Let the dimensions be 3x, 4x, and 5x.
Volume = 3x × 4x × 5x = 60x³
60x³ = 480
x³ = 480 / 60 = 8
x = 2
Largest dimension = 5x = 5 × 2 = 10 cm