Which of these shows [tex]1 \, m^3[/tex] converted to [tex]cm^3[/tex]?

A. [tex]1 \, m^3 = 1,000,000 \, cm^3[/tex]

B. [tex]1 \, m^3 = 100,000 \, cm^3[/tex]

C. [tex]1 \, m^3 = 10,000 \, cm^3[/tex]

D. [tex]1 \, m^3 = 100 \, cm^3[/tex]



Answer :

Sure! Let's convert 1 cubic meter (1m³) to cubic centimeters (cm³) step-by-step.

Firstly, understand that 1 meter (m) is equal to 100 centimeters (cm).

To find the volume in cubic centimeters, we need to consider the conversion for all three dimensions (length, width, and height) of the cube.

1. Start with the volume in cubic meters:
1m³

2. We know that 1 meter is equal to 100 centimeters. To convert cubic meters to cubic centimeters, we convert each dimension from meters to centimeters:
[tex]\[ 1 \text{ meter} \times 1 \text{ meter} \times 1 \text{ meter} = 100 \text{ centimeters} \times 100 \text{ centimeters} \times 100 \text{ centimeters} \][/tex]

3. Now calculate the total volume in cubic centimeters:
[tex]\[ 100 \text{ cm} \times 100 \text{ cm} \times 100 \text{ cm} = 1,000,000 \text{ cm}³ \][/tex]

Therefore, the conversion of 1 cubic meter (1m³) to cubic centimeters (cm³) is:
1,000,000 cm³.

So, the correct choice from the list is:
1,000,000 cm³.