'Gram' is related to 'Mass' (the physical quantity it measures) in the same way as 'Centimetre' is related to which physical quantity?

Introduction / Context:
Measurement analogies map a unit to the physical quantity it measures. 'Gram' measures mass. We must identify the physical quantity measured by 'centimetre'.

Given Data / Assumptions:

• Gram is a unit in the metric system.
• Centimetre is also a metric unit.
• Each option names a distinct physical quantity or concept.

Concept / Approach:
Apply consistent mapping: unit → measured quantity. Gram → mass; therefore, centimetre should map to the linear measure it represents.

Step-by-Step Solution:
1) Confirm first mapping: Gram → Mass (SI-derived).2) Identify what a centimetre measures: one hundredth of a metre, a linear dimension.3) Therefore, Centimetre → Length.

Verification / Alternative check:
Cross-reference: In SI, metre is the base unit of length; centimetre is 10^-2 metre. Hence, it measures length.

Why Other Options Are Wrong:

• Area: Measured in square units (e.g., cm^2, m^2), not centimetre alone.
• Volume: Measured in cubic units or litres; centimetre alone is not volume.
• Sound: A phenomenon; not a physical quantity directly measured by centimetre.
• None of these: Incorrect because 'Length' is correct.

Common Pitfalls:
Confusing 'cm' with 'cm^2' or 'cm^3'. Watch the exponent: plain centimetre is length.

Final Answer:
Length