1. 2700 = 2x2x3x3x3x5x5 soit 2700 = 2^2x3^3x5^2
4050 = 2x3x3x3x3x5x5 = 2x3^4x5^2
5400= 2x2x2x3x3x3x5x5 = 2^3x3^3x5^2
2. l, h, L les dimension de la caisse avec:
l = 2^a x3^b x 5^c
h = 2^a1 x 3^b1 x 5^c1
L = 2^a2 x 3^b2 x 5^c1
2700 = Ll; 4050 = lh et 5400 = hL
a+a2 = 2
b+b2 = 3
c+c2 = 2 car 2700 = 2^2 x 3^3 x 5^2
a+a2 = 2 → a2 = 2 - a et on remplace a2 dans la 3ième ligne
a+a1 = 1
a +a2 = 3
idem pour b et c
l = 45
h = 90
L = 60
volume = L x l x h = 60x45x90 = 243000cm^3
