Question

determinati a,b,cstiind ca sunt direct proportionale cu3,4,5iar produsul este480

Answer 1

a/3=b/4=c/5 = k
a/3=k, a=3k
b/4=k.b=4k
c/5=k, c = 5k
a*b*c = 480
3k*4k*5k = 480
60k^3 = 480
k^3 = 480:60
k^3 = 8
k^3 = 2^3
k = 2
a = 3*k = 3*2 = 6
b = 4*k = 4*2 = 8
c = 5*k = 5*2 = 10
V: 6*8*10 = 48*10 = 480