Question

A cube of wood with a side length of 1 meter is place in the water. It half of the wood sank under the water, find the mass of the wood. (density of water 1.0 × 103kg/m3)

Answer 1

Volume of cube is equal to two times the weight of replaced water
`1000` Kg

Step-by-step explanation:

Length of one side of cube is
`1` meter

Volume of cube
`= 1* 1* 1 = 1` cubic meter

Half of the wood sank

Hence, the volume of water replaced will be equal to half the volume of cube

Volume of water replaced
`= (1)/(2) = 0.5` cubic meter

Density of water
`1 * 10^3` kg/m3

Weight of water replaced

`= 1 * 10^3 * 0.5\\= 500`Kg

Volume of cube is equal to two times the weight of replaced water

`= 2* 500 = 1000` Kg