Cuboid and ratio

A cuboid has a volume of 810 cm3. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid.

Correct answer:

a =  6 cm
b =  9 cm
c =  15 cm

Step-by-step explanation:

a = 2x b = 3x c = 5x  V=810 cm3 V = abc = 2 3 5 x3  x=3V/(2 3 5)=3810/(2 3 5)=3 cm  a=2 x=2 3=6 cm
b=3 x=3 3=9 cm
c=5 x=5 3=15 cm



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