Respuesta :

(1) The volume of a box with a rectangular base is 3072 cm³...

X x Y x Z = 3072 cm³

(2) The length of the sides are in the ratio 1:2:3

This means that:

(X)*(2X)*(3X) = 3072 cm³

It also means that:

Y=2X

Z=3X

(3) Calculate the length of the shortest side...

(X)*(2X)*(3X) = 3072 cm³

6X³ = 3072 cm³

X³ = (3072 cm³)/6

X³ = 512 cm³

X = ∛(512 cm³)

X = 8 cm

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Answers:

Length of the shortest side (X): 8 cm

Length of the side (Y): 16 cm

Length of the side (Z): 24 cm

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