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------------------------------------------------ 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 of the wood?

A. [tex]$78.9 \, \text{cm}^3$[/tex]
B. [tex]$79.8 \, \text{cm}^3$[/tex]
C. [tex]$89.7 \, \text{cm}^3$[/tex]
D. [tex]$97.8 \, \text{cm}^3$[/tex]

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