Answer :
To find the volume of the block of wood, we need to use the formula for density, which relates mass, volume, and density. The formula is:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
We can rearrange this formula to solve for volume:
[tex]\[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \][/tex]
In the problem, we have:
- Mass of the wood (weight) = 65.84 grams
- Density of the wood = 0.834 grams per cubic centimeter (g/cm³)
Now, we can plug in these values into the formula to calculate the volume:
[tex]\[ \text{Volume} = \frac{65.84 \, \text{g}}{0.834 \, \text{g/cm}^3} \][/tex]
By dividing 65.84 by 0.834, we get approximately 78.94484412470025. This means the volume of the wood is approximately 78.9448 cm³.
Rounding this to one decimal place, the volume of the wood is approximately 78.9 cm³.
Therefore, the correct answer is:
78.9 cm³
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
We can rearrange this formula to solve for volume:
[tex]\[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \][/tex]
In the problem, we have:
- Mass of the wood (weight) = 65.84 grams
- Density of the wood = 0.834 grams per cubic centimeter (g/cm³)
Now, we can plug in these values into the formula to calculate the volume:
[tex]\[ \text{Volume} = \frac{65.84 \, \text{g}}{0.834 \, \text{g/cm}^3} \][/tex]
By dividing 65.84 by 0.834, we get approximately 78.94484412470025. This means the volume of the wood is approximately 78.9448 cm³.
Rounding this to one decimal place, the volume of the wood is approximately 78.9 cm³.
Therefore, the correct answer is:
78.9 cm³
