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Question

A triangular prism has a base of an equilateral triangle of side 3.5 cm. Water is filled till the height of 10 cm in the prism. If  a small ice cube of side 2 cm is put inside it, the water level rises to different height. What is the new height(in cm)?
  1. 11.5


Solution

The correct option is A 11.5

Side of the equilateral triangle = 3.5 cm 

Area of the base = 34×(3.5)2

Let the height of water displaced in the prism = h cm.

Volume of solid cube = Volume of water displaced in the prism

2×2×234×(3.5)2×h

h=2×2×2×43×3.5×3.5

h=1.5 cm 

Since the water level rises by 1.5 cm, the new heieght = 10+1.5=11.5 cm

So, new height is 11.5 cm.

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