A solid cube of side 8 cm is dropped into a rectangle 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 :
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4
Each side of the cube = 8 cm
The rectangular container has a length of 16 cm, a breadth of 8 cm, and a height of 15 cm
The volume of cube = (Edge)3
The volume of a cuboid = Length × Breadth × Height
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 = x cm
So, 83 = 16 × 8 × x
⇒ 512 = 128 × x
⇒ x = 512/128 = 4
Thus, the rise of water level (in cm) is 4 cm