Cuboid edges in ratio

Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.

Correct answer:

a =  16 cm
b =  32 cm
c =  48 cm

Step-by-step explanation:

V=24576 cm3 a:b:C=2:4:6 V = abc V = 2k 4k 6k = 48k3 k=3V/48=324576/48=8 cm a=2 k=2 8=16 cm
b=4 k=4 8=32 cm
c=6 k=6 8=48 cm

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