Math Problem Statement

Assume an object A with mass of 36.240 g and its density is 5.40 g/mL. What is its volume?

Solution

To find the volume of the object, we can use the formula for density:

Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}

Rearranging the formula to solve for volume:

Volume=MassDensity\text{Volume} = \frac{\text{Mass}}{\text{Density}}

Given:

  • Mass =36.240g= 36.240 \, \text{g}
  • Density =5.40g/mL= 5.40 \, \text{g/mL}

Now, let's calculate the volume.

Volume=36.240g5.40g/mL=6.711mL\text{Volume} = \frac{36.240 \, \text{g}}{5.40 \, \text{g/mL}} = 6.711 \, \text{mL}

Thus, the volume of the object is approximately 6.711 mL.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What happens to the volume if the density increases while keeping the mass constant?
  2. How would you convert the volume from mL to cubic centimeters (cm³)?
  3. What is the formula for calculating mass if density and volume are known?
  4. How does temperature affect the density of most substances?
  5. If the object were submerged in water, how could we use its volume to determine if it will float?

Tip: Density is mass per unit volume, so objects with lower densities than water (1 g/mL) will float in water.

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Math Problem Analysis

Mathematical Concepts

Density
Volume
Division

Formulas

Volume = Mass / Density

Theorems

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Suitable Grade Level

Grades 6-8