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A clay plate has a mass of 62grams and a volume of 31cubic centimeters. What is its density?

Question

A clay plate has a mass of 62 grams and a volume of 31 cubic centimeters. What is its density?

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Solution

1. Break Down the Problem

To find the density of a substance, we need to apply the formula:

Density(ρ)=massvolume \text{Density} (\rho) = \frac{\text{mass}}{\text{volume}}

In this case, we have the mass of the clay plate and its volume.

2. Relevant Concepts

  • Mass: Given as 62 grams.
  • Volume: Given as 31 cubic centimeters.

3. Analysis and Detail

We will substitute the values of mass and volume into the density formula.

  • Mass (mm) = 62 g
  • Volume (VV) = 31 cm³

Now substituting into the formula:

ρ=mV=62g31cm3 \rho = \frac{m}{V} = \frac{62 \, \text{g}}{31 \, \text{cm}^3}

4. Verify and Summarize

Calculating this gives:

ρ=2g/cm3 \rho = 2 \, \text{g/cm}^3

Final Answer

The density of the clay plate is 2g/cm32 \, \text{g/cm}^3.

This problem has been solved

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