College

1. Express the following measurements in the specified units:

(a) A length of 52 mm in metres.

(b) [tex]20000 \, \text{mm}^2[/tex] in square metres.

(c) [tex]10000000 \, \text{mm}^3[/tex] in cubic metres.

Answer :

Sure, I can help explain how to convert the units step-by-step:

1. Convert 52 mm to meters:

- There are 1000 millimeters (mm) in a meter (m). To convert from millimeters to meters, you divide by 1000.

- Calculation:
[tex]\( 52 \, \text{mm} \div 1000 = 0.052 \, \text{m} \)[/tex]

So, 52 mm is equal to 0.052 meters.

2. Convert 20,000 mm² to square meters (m²):

- There are 1,000,000 square millimeters (mm²) in a square meter (m²) because (1000 mm x 1000 mm = 1,000,000 mm²).

- Calculation:
[tex]\( 20,000 \, \text{mm}^2 \div 1,000,000 = 0.02 \, \text{m}^2 \)[/tex]

Thus, 20,000 mm² is equal to 0.02 square meters.

3. Convert 10,000,000 mm³ to cubic meters (m³):

- There are 1,000,000,000 cubic millimeters (mm³) in a cubic meter (m³) because (1000 mm x 1000 mm x 1000 mm = 1,000,000,000 mm³).

- Calculation:
[tex]\( 10,000,000 \, \text{mm}^3 \div 1,000,000,000 = 0.01 \, \text{m}^3 \)[/tex]

Hence, 10,000,000 mm³ is equal to 0.01 cubic meters.

These calculations show how to convert units from millimeters to meters, square meters, and cubic meters.