Cuboid - complicated

Three walls of the same cuboid have an area of 6 cm2, 10 cm2, and 15 cm2. Calculate the volume of the cuboid.

Correct answer:

V =  30 cm3

Step-by-step explanation:

ab = 6  cm2 bc= 10  cm2 ca = 15  cm2  V=abc  ab bc ca = abc   abc = V2  V2 = ab bc ca V = ab bc ca  V=6 10 15=30   Verifying Solution:   c = 10/6 a a = 15/10 b b = 6/15 c  a 10/15 a = 6 a=6/(10/15)=3 cm  c=10/6 a=10/6 3=5 cm b=6/15 c=6/15 5=2 cm  V2=a b c=3 2 5=30 cm3



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