If the areas of three adjacent faces of a rectangular box which meet in a corner are 12cm2, 15cm2 and 20cm2 respectively. Then the volume of the box is
Show answer & explanation
Correct answer: C
Explanation
The correct option is 3.
let length, breadth, height be l, b, h respectively
l × b = 12 ------------- eq 1
b × h = 15---------------eq2
h × l = 20----------------eq3
multiply eq 1 by eq2 and dividing eq3 we get
b = 3
from eq 1 we get l = 4
from eq 2 we get h = 5
volume of the cuboid = l × b × h = 3 × 4 × 5 60 = cm3