Cubic Centimeter — Definition, Formula & Examples
A cubic centimeter is the amount of space inside a cube that measures 1 centimeter on each side. It is written as cm³ and is used to measure the volume of small objects.
A cubic centimeter (cm³) is a unit of volume in the metric system defined as the volume of a cube with edges of exactly one centimeter in length, equivalent to one milliliter (1 mL).
Key Formula
Where:
- = Volume in cubic centimeters (cm³)
- = Length in centimeters
- = Width in centimeters
- = Height in centimeters
How It Works
To find the volume of a box-shaped object in cubic centimeters, multiply its length, width, and height when all three are measured in centimeters. Each small cube that fits inside the object represents one cubic centimeter. If a rectangular box is 4 cm long, 3 cm wide, and 2 cm tall, you can imagine filling it with tiny 1 cm cubes — the total number of cubes is the volume in cm³.
Worked Example
Problem: A small box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume in cubic centimeters?
Step 1: Multiply the three dimensions together.
Step 2: Calculate the result.
Answer: The box has a volume of 60 cubic centimeters (60 cm³).
Why It Matters
Cubic centimeters appear in science classes when you measure the volume of liquids and small solids, since 1 cm³ equals exactly 1 mL. Doctors and pharmacists also use this unit — medicine doses in syringes are often labeled in mL, which is the same as cm³.
Common Mistakes
Mistake: Confusing square centimeters (cm²) with cubic centimeters (cm³).
Correction: Square centimeters measure flat area (length × width). Cubic centimeters measure volume, which adds a third dimension (length × width × height).