A small crystal of sucrose (table sugar) had a mass of 5.536...

A small crystal of sucrose (table sugar) had a mass of 5.536 mg . The dimensions of the box-like crystal were $2.20 \mathrm{~mm} \times 1.36 \mathrm{~mm} \times 1.12 \mathrm{~mm}$. What is the density of sucrose expressed in $\mathrm{g} / \mathrm{cm}^3$ ?

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Key Concepts

Unit Conversion

Unit conversion is the process of converting measurements from one unit to another to maintain consistency in calculations. In problems involving density, it is often necessary to convert units such as milligrams to grams or millimeters to centimeters to align with the standard units used for density expressions, such as grams per cubic centimeter.

Volume

Volume refers to the amount of space that an object occupies. For regular shapes, volume can be calculated using geometrical formulas based on the object's dimensions. In the context of density calculations, determining the correct volume is essential to ensure the integrity of the final result.

Mass

Mass is a measure of the amount of matter in an object, typically measured in grams or kilograms. In density problems, it is important to accurately measure or convert the mass to the correct unit to ensure that subsequent calculations, such as finding the density, are precise.

Density

Density is a physical property defined as the mass of an object divided by its volume. It is a critical concept in both physics and chemistry as it can help identify substances and understand their properties. In calculations, ensuring that mass and volume are expressed in compatible units is vital for an accurate result.

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