Mathematics
A rectangular container, whose base is a square of side 6 cm, stands on a horizontal table and holds water up to 1 cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 2 cm3 of water over flows. Calculate the volume of the cube.
Answer
Given, the base of rectangular container is a square
∴ l = 6 cm and b = 6 cm
When a cube is placed in it, water rises to top i.e. through height 1 cm and 2 cm3 of water overflows.
We know that,
Volume of cube = Volume of water displaced
= 6 × 6 × 1 + 2
= 36 + 2
= 38 cm3
Hence, volume of cube = 38 cm3.
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