The density of a standard sugar cube is 4 grams per cubic centimeter (4 g/cm³).
A standard sugar cube exhibits a consistent density, which is a measure of its mass per unit volume. This property is primarily determined by its typical mass and precise dimensions.
Understanding Sugar Cube Dimensions and Volume
For a standard sugar cube, the dimensions are notably uniform, making its volume easy to calculate. As a cube, all its lengths are equal:
- Length: 1 centimeter (cm)
- Width: 1 centimeter (cm)
- Height: 1 centimeter (cm)
Given these dimensions, the volume (V) of the sugar cube is calculated using the formula for the volume of a cube (Length × Width × Height):
Volume = 1 cm × 1 cm × 1 cm = **1 cm³**
Calculating Density: Mass and Volume
Density (d) is defined by the formula d = m/v, where 'm' is the mass and 'v' is the volume. For a standard sugar cube, its typical mass is approximately 4 grams.
Using the values from the reference:
- Mass (m): 4 grams (g)
- Volume (v): 1 cubic centimeter (cm³)
Applying the density formula:
d = m / v
d = 4 g / 1 cm³
d = **4 g/cm³**
This calculation clearly shows that a standard sugar cube, with its mass of 4 grams and volume of 1 cubic centimeter, has a density of 4 g/cm³.
Summary of Sugar Cube Properties
The following table summarizes the key properties of a standard sugar cube that contribute to its precise density:
| Property | Value | Unit |
|---|---|---|
| Mass | 4 | g |
| Volume | 1 | cm³ |
| Density | 4 | g/cm³ |
This consistent density makes sugar cubes a reliable and convenient unit for various purposes, from sweetening beverages to serving as a simple, tangible example in educational contexts.
