NavGanitMateby NavGreen Compute, AustraliaBased on Australian Curriculum: Mathematics v9.0
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Two-dimensional representations

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Required skills (click to reveal)

A rectangular prism has a length of 6 cm, width of 4 cm and height of 3 cm. When viewed from directly above, the two-dimensional representation of the prism's footprint is a rectangle.

What is the exact area of this two-dimensional footprint in square centimetres?

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Formula and explanation (click to reveal)

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Formula

Explanation

Worked solution and answer (click to reveal)

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Worked solution

  1. The question asks for the area of the two-dimensional footprint of a rectangular prism when viewed from directly above.
  2. The footprint is the shape formed by the base of the prism when viewed from above. For a rectangular prism, this is a rectangle.
  3. The length and width of the base are given as 6 cm and 4 cm, respectively. The height (3 cm) is not needed for the footprint area.
  4. The area of a rectangle is calculated using the formula: area = length × width.
  5. Substitute the given values: area = 6 cm × 4 cm.
  6. Perform the multiplication: 6 × 4 = 24.
  7. Include the unit: 24 cm².
  8. The result is exact and no rounding is required.
  9. The footprint is a rectangle with length 6 cm and width 4 cm, so the area is 24 cm².
  10. This matches the expected result from the formula and given values.
  11. The area of the two-dimensional footprint is 24 square centimetres.
  12. The solution is complete and verified.

Reference answer: 24 cm²

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