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)

Respuesta :

Answer:

Volume of cube is equal to two times the weight of replaced water [tex]1000[/tex] Kg

Explanation:

Length of one side of cube is [tex]1[/tex] meter

Volume of cube [tex]= 1* 1* 1 = 1[/tex] 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 [tex]= \frac{1}{2} = 0.5[/tex] cubic meter

Density of water [tex]1 * 10^3[/tex] kg/m3

Weight of water replaced

[tex]= 1 * 10^3 * 0.5\\= 500[/tex]Kg

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

[tex]= 2* 500 = 1000[/tex] Kg