Two similar jugs have their heights of 8 cm and 12 cm, respectively. If the capacity of the smaller jug is 80 cm³, what is the capacity of the bigger jug (in cm³) ?

270

Two similar jugs have their heights = 8 cm and 12 cm

The capacity of the smaller jug = 80 cm³

We know that,

The volume of the jug is the cube of the height.

So, according to the question,

(8x)³ = 80

x = \(\frac{80}{512}\)  

(12)³ = \(\frac{80}{512}\) ×  1728 = 270