Key relationship
A length factor k becomes k² for area and k³ for volume: 1 cm² = 10⁻⁴ m²; 1 cm³ = 10⁻⁶ m³.
Physics · Class 11
Unit conversion
Changing a unit changes the numerical value, not the physical quantity. Convert through the common base unit. Area scales with the square of a length factor; volume scales with its cube. This laboratory includes exact prefix and time conversion factors, not temperature offsets.
Open the interactive experiment →Same quantity. A different unit.
அலகை மாற்றும்போது எண் மாறும்; இயற்பியல் அளவு மாறாது. நீளத்தின் மாற்றுக் காரணியைப் பரப்பளவிற்கு வர்க்கமாகவும் கனஅளவிற்கு கனமாகவும் பயன்படுத்த வேண்டும்.
Key notes, relationships and model limits
Remember
Convert through a common base unit and check that the quantity type stays the same.
Common trap
1 cm² is 10⁻⁴ m², not 10⁻² m².
Model limits
This converter uses multiplicative factors. Celsius–kelvin conversion also needs an offset.
What you will learn
Convert lengths, masses, times, areas and volumes; explain squared and cubed prefix factors.
Try the experiment
Choose a quantity type, two compatible units and a value. Watch both descriptions represent the same quantity.
Think of it this way
One rupee and one hundred paise describe the same amount. A different scale changes the number used to describe it.
Worked example
250 cm = 250 × 0.01 m = 2.5 m. Similarly, 1 cm³ = 10⁻⁶ m³ = 1 mL.
Why this matters
A unit error can be large: confusing centimetres with metres creates a factor of 100.
Before you start
Decimals · fractions · powers of ten
Check your understanding
What is 1 cm² in m²?
- 0.01 m²
- 0.0001 m²
- 100 m²
Read the explanation
1 cm = 0.01 m, so 1 cm² = (0.01 m)² = 0.0001 m².
Course connection: CBSE XI Chapter 1; NEET/Main Unit 1; JEE Advanced General. Depth and exam wording differ.