The Cm to Grams Calculator is a tool designed to convert volume, measured in cubic centimeters (cm³), into mass, measured in grams (g). This calculation relies on the density of the material being measured, which varies based on the substance's properties. The calculator is especially helpful in science, cooking, and industrial applications, where accurate conversions are essential for precision and safety.
Why Is This Calculator Useful?
- Simplicity: Quickly compute mass without manual calculations.
- Versatility: Works for any material as long as its density is known.
- Accuracy: Ensures precise conversions, reducing errors in critical tasks.
Formula of Cm To Grams Calculator
The relationship between volume, density, and mass is given by the formula:
Mass (g) = Volume (cm³) × Density (g/cm³)
Where:
- Mass (g) is the weight of the substance in grams.
- Volume (cm³) is the space occupied by the substance in cubic centimeters.
- Density (g/cm³) is the mass per unit volume of the material, a unique property of each substance.
Precomputed Table for Common Materials
Below is a table showing pre-calculated conversions for common substances using their typical densities:
| Substance | Density (g/cm³) | Mass for 1 cm³ (g) | Mass for 100 cm³ (g) | Mass for 1000 cm³ (g) |
|---|---|---|---|---|
| Water | 1.00 | 1.00 | 100 | 1000 |
| Gold | 19.32 | 19.32 | 1932 | 19320 |
| Iron | 7.87 | 7.87 | 787 | 7870 |
| Aluminum | 2.70 | 2.70 | 270 | 2700 |
| Air (at STP) | 0.001225 | 0.001225 | 0.1225 | 1.225 |
Example of Cm To Grams Calculator
Problem:
You have a block of iron with a volume of 250 cm³. How much does it weigh in grams?
Solution:
Using the formula,
Mass (g) = Volume (cm³) × Density (g/cm³)
Substitute the values:
Mass = 250 × 7.87 = 1967.5 g
Answer:
The iron block weighs 1967.5 grams.
Most Common FAQs
Yes, as long as the density of the material is know, the calculator can convert volume to mass accurately. You can find density values in material property tables or reference guides.
Cubic centimeters (cm³) and milliliters (mL) are equivalent in volume measurement. Therefore, the calculator works for liquid and solid substances alike, provided their density is specified in g/cm³.
To find the density, divide the mass of the substance by its volume. Use precise measuring tools to ensure accuracy in your calculations.