If a:b=3:1 and b:c=2:1 then find the value of abc(1/a^3+1/b^3+1/c^3)
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given,
a:b = 3:1
let, a=3p and b=1p
similarly, b:c=2:1
let, b=2q and c=1q
now, 2q=p
and a=6q
Now,
abc(1/a^3+1/b^3+1/c^3)
12q^3(1/216q^3+1/8q^3+1/1q^3)
12(1/216+1/8+1)
13.548
a:b = 3:1
let, a=3p and b=1p
similarly, b:c=2:1
let, b=2q and c=1q
now, 2q=p
and a=6q
Now,
abc(1/a^3+1/b^3+1/c^3)
12q^3(1/216q^3+1/8q^3+1/1q^3)
12(1/216+1/8+1)
13.548
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