A material has a dry mass of 27 g and a volume of 5 cm³. Determine the density of the material.

Understand the Problem

The question is asking to calculate the density of a material using its mass and volume. Density is defined as mass divided by volume, so we will use the formula density = mass/volume to find the answer.

Answer

The density is calculated using $ \text{Density} = \frac{m}{v} $.
Answer for screen readers

The density is given by the formula $ \text{Density} = \frac{m}{v} $ where $m$ is the mass and $v$ is the volume.

Steps to Solve

  1. Identify the formula for density

We know the formula for density is given by:

$$ \text{Density} = \frac{\text{mass}}{\text{volume}} $$

  1. Plug in the values for mass and volume

Assuming we have the mass and volume of the material, let's denote the mass as $m$ (in grams) and the volume as $v$ (in cubic centimeters). We can now substitute these values into the formula.

  1. Calculate the density

Perform the division of mass by volume to find the density:

$$ \text{Density} = \frac{m}{v} $$

  1. Present the final result

After calculating, present the answer clearly with units (grams per cubic centimeter, g/cm³).

The density is given by the formula $ \text{Density} = \frac{m}{v} $ where $m$ is the mass and $v$ is the volume.

More Information

The density of a material gives insight into its composition and state. Different materials have characteristic densities that can help identify them; for example, the density of water is approximately $1 , \text{g/cm}^3$.

Tips

  • Confusing units: Make sure mass is in grams and volume is in cubic centimeters to keep consistency.
  • Not using the correct formula: Remember that density is always mass divided by volume.
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