What is the volume of a 378 gram block of quartz that has a density of 2.65 g/cm³?

What is the volume of a 378 gram block of quartz that has a density of 2.65 g/cm³?

• A. 143 cm³
• B. 150 cm³
• C. 135 cm³
• D. 160 cm³

Answer: (A)

To determine the volume of a substance when its mass and density are known, the formula to use is: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \] In this case, the mass of the quartz block is 378 grams and its density is 2.65 grams per cubic centimeter. Using the formula: \[ \text{Volume} = \frac{378 \, \text{g}}{2.65 \, \text{g/cm}^3} \] Calculating this gives: \[ \text{Volume} \approx 142.64 \, \text{cm}^3 \] When rounding this value, we find that it corresponds closely with 143 cm³. This value represents the amount of space occupied by the quartz block, which is derived directly from its mass and the density provided. The other answer choices do not match the calculated result, confirming that the correct response aligns with basic principles of mass, density, and volume calculations, accurately reflecting the physical properties and relationships of the material in question.

To determine the volume of a substance when its mass and density are known, the formula to use is:

[

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

]

In this case, the mass of the quartz block is 378 grams and its density is 2.65 grams per cubic centimeter. Using the formula:

[

\text{Volume} = \frac{378 , \text{g}}{2.65 , \text{g/cm}^3}

]

Calculating this gives:

[

\text{Volume} \approx 142.64 , \text{cm}^3

]

When rounding this value, we find that it corresponds closely with 143 cm³. This value represents the amount of space occupied by the quartz block, which is derived directly from its mass and the density provided.

The other answer choices do not match the calculated result, confirming that the correct response aligns with basic principles of mass, density, and volume calculations, accurately reflecting the physical properties and relationships of the material in question.