Question

A piece of wood that measures 3.0 cm x 6.0 cm x 4.0 cm has a mass of 80.0 g. What is the density of the word? With a piece of wood float in the water? Volume equals length times with times height

Answer 1

Answer : The density of wood is 1.11 g/cm³.

The piece of wood will not float in water.

Explanation : Given,

Mass of wood = 80.0 g

Length of piece of wood = 3.0 cm

Width of piece of wood = 6.0 cm

Height of piece of wood = 4.0 cm

First w have to calculate the volume of wood.

Volume of wood = Length × Width × Height

Volume of wood = 3.0 cm × 6.0 cm × 4.0 cm

Volume of wood = 72.0 cm³

Now we have to calculate the density of wood.

`\text{Density of wood}=\frac{\text{Mass of wood}}{\text{Volume of wood}}`

Now putting all the given values in this formula, we get:

`\text{Density of wood}=(80.0g)/(72.0cm^3)`

`\text{Density of wood}=1.11g/cm^3`

As we know that there are two conditions to determine whether the object will float or sink in a liquid.

• If the density of object is less than water then the object will float on water.
• If the density of object is more than water then the object will sink in water.

The density of water is 1 g/cm³.

From this we conclude that the density of wood is more than water that means the wood will sink in water.