Two similar jugs have their heights of 8 cm and 12 cm, respectively. If the smaller jug is 80 cm3, what is the capacity of the bigger jug (in cm3)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 270
Height of smaller jug = 8 cm
Height of bigger jug = 12 cm
The volume of the smaller jug = 80 cm3
The volume of similar surfaces is equal to the cube of similar sides.
(HeightA3)/(HeightB3) = VolumeA/VolumeB
From the proportionality concept -
83/123 = 80/(VolumeB)
512/1728 = 80/(VolumeB)
(VolumeB) = 270 cm3