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A cube-shaped cardboard box has a volume of 2197 cm³. Calculate the area of one side (face) of the box.

A. 13 cm
B. 169 cm²
C. 16.9 cm³
D. None of these
Correct Answer: B. 169 cm²

Correct answer: 169 cm². Side = ∛2197 = 13 cm, so the area of one face = 13² = 169 cm².

Background: Volume of a cube = side³, and area of one face = side².

  • 13 cm: 13 cm is the side length, not an area.
  • 16.9 cm³: 16.9 cm³ has the wrong unit for an area.
  • None of these: “None of these” is incorrect because 169 cm² is correct.

Did you know? 13³ = 2197 and 13² = 169.

Memory trick: Cube root for the side, square for the face.

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