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A cube has a side of length \( 2.342 m \). The surface area and volume in correct significant figures are respectively:

1. \( 32.90 m^{2}, 12.85 m^{3} \)
2. \( 5.49 m^{2}, 12.85 m^{3} \)
3. \( 5.485 \mathrm{m}^{2}, 12.9 \mathrm{m}^{3} \)
4. \( 5.49 m^{2}, 12.9 m^{3} \)

Correct answer: \( 32.90 m^{2}, 12.85 m^{3} \)

Solution

For a cube with side 2.342 m, surface area is 6s^2 and volume is s^3. Since 2.342 has 4 significant figures, both results should be reported to 4 significant figures, giving 32.90 m^2 and 12.85 m^3.

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