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p:l:t = 6x:5x:3x
Lp = 2016
2.(pl+pt+lt) = 2016
6x.5x+6x.3x+5x.3x = 2016:2
30x^2+18x^2+15x^2 = 1008
63x^2 = 1008
x^2 = 1008:63
x = √16
x = 4
p = 6x
p = 6.4
p = 24 cm
l = 5x
l = 5.4
l = 20 cm
t = 3x
t = 3.4
t = 12 cm
V = p.l.t
V = 24.20.12
V = 5760 cm3