A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:
Answer & explanation
Correct answer: option 4
We know that,
The volume of cube = (Side)3
The volume of a cuboid = Length × Breadth × Height
Side of the cube = 8 cm
The rectangular container has a length = 16 cm,
breadth = 8 cm,
and height = 15 cm
We know that,
The volume of cube = The volume of the rectangular container with a length of 16 cm, breadth of 8 cm, and height of the water level rise
Let, the height of the water level will rise = a cm
So, 83 = 16 × 8 × a
= 512 = 128 × a
= a = 4