Cuboid and ratio

Find the dimensions of a cuboid having a volume of 810 cm3 if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5

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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