Math Problem Statement

The density of an object is equal to its mass divided by its volume. If a rock sample has a mass of [360] grams and a volume of [120] cubic centimeters, what is the density of the sample in grams per cubic centimeter?

Solution

To find the density of the rock sample, you can use the formula:

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

Given:

  • Mass = 360 grams
  • Volume = 120 cubic centimeters

Substituting the values into the formula:

Density=360 grams120 cubic centimeters=3 grams per cubic centimeter\text{Density} = \frac{360 \text{ grams}}{120 \text{ cubic centimeters}} = 3 \text{ grams per cubic centimeter}

Thus, the density of the rock sample is 33 grams per cubic centimeter.

Would you like any further details or explanations? Here are some related questions you might find interesting:

  1. How would the density change if the mass or volume were different?
  2. What are some common densities of various materials for comparison?
  3. How does temperature affect the density of a substance?
  4. What is the significance of density in identifying materials?
  5. Can density be used to determine the composition of a rock sample?

Tip: When measuring density, ensure that the mass and volume are in compatible units to get accurate results.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Density
Measurement
Division

Formulas

Density = Mass / Volume

Theorems

-

Suitable Grade Level

Grades 6-8