Question

A piece of wood measures 3 cm by 6 cm by 4 cm and has a mass of 80 g. What is the density of the piece of wood? Would the wood float on the water? (Water density = 1).

Option 1: Density = 3.33 g/cm³, Wood would float
Option 2: Density = 5.0 g/cm³, Wood would float
Option 3: Density = 1.11 g/cm³, Wood would not float
Option 4: Density = 2.22 g/cm³, Wood would not float

Answer 1

The density of the wood is approximately 1.11 g/cm³, calculated by dividing its mass of 80 g by its volume of 72 cm³. Since its density is less than that of water (1 g/cm³), the wood would float.

Step-by-step explanation:

To find the density of a piece of wood, you divide its mass by its volume. The formula for density is density = mass/volume. Given that the piece of wood has a mass of 80 g and dimensions of 3 cm by 6 cm by 4 cm, its volume is 3 cm * 6 cm * 4 cm = 72 cm³. Therefore, the density of the wood is 80 g / 72 cm³, which equals approximately 1.11 g/cm³. Since this value is lower than the density of water, which is 1 g/cm³, the wood would float on water. This is because objects with a density lower than that of the liquid they are placed in will float due to the principle of buoyancy.