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A 60-cm-long piece of carbon has a 1.3 mm × 1.3 mm square cross-section. What is the cross-sectional area in square meters?

a) 1.2 x 10⁻³ m²
b) 1.69 x 10⁻⁴ m²
c) 2.89 x 10⁻⁵ m²
d) 4.8 x 10⁻⁶ m²

Answer :

Final answer:

To calculate the cross-sectional area, the dimensions of the carbon piece given in millimeters are converted to meters and then multiplied. The cross-sectional area is (d) 1.69 imes[tex]10^{-6}[/tex] m^2.

Explanation:

The question is asking for the cross-sectional area of a 60-cm-long piece of carbon with a 1.3 mm imes 1.3 mm square cross-section. To find the cross-sectional area, the dimensions given in millimeters must be converted into meters and then multiplied together. The conversion is as follows: 1.3 mm = 0.0013 m. Thus, the cross-sectional area in square meters (m2) would be
(0.0013 m) imes (0.0013 m) = 1.69 imes 10-6 m2. Therefore, the correct answer is d) 1.69 imes 10-6 m2.

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