Geometry · Modeling with Geometry

Apply area/volume density concepts

Apply area/volume density concepts.

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What you’ll learn

Apply area/volume density concepts.

Key idea

Density divides quantity by the geometric measure and keeps that measure dimension in its unit.

Divide by the supporting geometric measure and carry its dimension into the denominator.

Worked example

Classify examples and non-examples for the concept 'Apply area/volume density concepts'.

A geometric region contains 24 residents over 3 km². Classify the correct density value and unit.

  1. Density=24/3=8.
  2. The denominator is km², giving residents/km².

Answer: 8 residents/km² — divide 24 by 3 and preserve the denominator dimension.

Quick Check

Classify examples and non-examples for the concept 'Apply area/volume density concepts'.

A geometric region contains 36 residents over 6 km². Classify the correct density value and unit.

Choose one answer

Show a hint

Identify the numerator quantity and whether the denominator measures area or volume.