Which of the following correctly describes the relationship between the SI unit for volume and the SI unit for length?

• A. The SI unit for volume, cubic meter (m^3), is equal to the cube of the SI unit for length, meter (m).
• B. The SI unit for volume, liter (L), is equal to the square of the SI unit for length, meter (m^2).
• C. The SI unit for volume, liter (L), is equal to the SI unit for length, meter (m).
• D. The SI unit for volume, cubic meter (m^3), is equal to the product of the SI unit for length and the SI unit for mass.

Answer: (A)

Verified step by step guidance

1. Recall that the SI unit for length is the meter, symbolized as \(m\).
2. Understand that volume is a measure of three-dimensional space, so its SI unit is derived by cubing the unit of length.
3. Express the SI unit for volume as the cube of the meter: \(m^3\).
4. Recognize that a liter (L) is a non-SI unit of volume commonly used, but it is not the SI unit; it is related to cubic meters by a conversion factor.
5. Conclude that the correct relationship is that the SI unit for volume, the cubic meter (\(m^3\)), equals the cube of the SI unit for length, the meter (\(m\)).