Square and Cubic Units

Converting Squared Units (Area)

When converting squared units, the conversion factor must be squared because area measures two-dimensional space.

Common Area Conversions:

• 1 $cm^2$ = 100 $mm^2$
• 1 $m^2$ = 10,000 $cm^2$
• 1 $km^2$ = 1,000,000 $m^2$
• 1 hectare (ha) = 10,000 $m^2$

Example: Convert 8254 $mm^2$ to $cm^2$.

$$1 cm^2 = 100 mm^2$$

$$8254 \div 100 = 82.54 cm^2$$

Final Answer: 82.54 $cm^2$.

Example: Convert 3.5 $m^2$ to $cm^2$.

$$1 m^2 = 10,000 cm^2$$

$$3.5 \times 10,000 = 35,000 cm^2$$

Final Answer: 35,000 $cm^2$.

 
Converting Cubic Units (Volume)

When converting cubic units, the conversion factor must be cubed because volume measures three-dimensional space.

Common Volume Conversions:

• 1 $cm^3$ = 1000 $mm^3$
• 1 $m^3$ = 1,000,000 $cm^3$
• 1 $km^3$ = 1,000,000,000 $m^3$

Example: Convert 2.54 $m^3$ to $cm^3$.

$$1m^3 = 1,000,000 cm^3$$

$$2.54 \times 1,000,000 = 2,540,000 cm^3$$

Final Answer: 2,540,000 $cm^3$.

Example: Convert 450 $cm^3$ to $mm^3$.

$$1 cm^3 = 1000 mm^3$$

$$450 \times 1000 = 450,000 mm^3$$

Final Answer: 450,000 $mm^3$.