piece of wood that measures 3.0 cm by 6.0 cm by 4.0 cm has a mass of 80.0 grams. What is the density of the wood? Would the piece of wood float in water? Explain.
To find the density of the wood, we can use the formula:
Density = Mass / Volume
The mass of the wood is given as 80.0 grams.
The volume of the wood can be calculated by multiplying its length, width, and height:
Volume = 3.0 cm * 6.0 cm * 4.0 cm = 72.0 cm^3
Now we can substitute the values in the formula to find the density:
Density = 80.0 grams / 72.0 cm^3 ≈ 1.11 grams/cm^3
So, the density of the wood is approximately 1.11 grams/cm^3.
Whether the piece of wood would float in water can be determined by comparing its density with the density of water, which is about 1 gram/cm^3.
Since the density of the wood (1.11 grams/cm^3) is greater than the density of water (1 gram/cm^3), the wood will sink in water.