Thank you for visiting A block of wood weighs 65 84 g and has a density of tex 0 834 text g cm 3 tex What is the volume. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
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
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