1800 تن بر هکتار = ؟ mg بر روی cm مربع

Mathematics

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Answer

18000mgcm218000 \frac{\text{mg}}{\text{cm}^2}

Step-by-step solution

3 steps
  1. Convert tons to milligrams

    We know that 1 ton (metric) = 1000 kg, 1 kg = 1000 g, and 1 g = 1000 mg.

    1 ton=1000 kg×1000 g1 kg×1000 mg1 g=109 mg1 \text{ ton} = 1000 \text{ kg} \times \frac{1000 \text{ g}}{1 \text{ kg}} \times \frac{1000 \text{ mg}}{1 \text{ g}} = 10^9 \text{ mg}

    So, 1800 tons is:

    1800 ton=1800×109 mg1800 \text{ ton} = 1800 \times 10^9 \text{ mg}
  2. Convert hectares to square centimeters

    We know that 1 hectare = 10,000 m2^2, and 1 m = 100 cm, so 1 m2^2 = (100 cm)2=10,000 cm2(100 \text{ cm})^2 = 10,000 \text{ cm}^2.

    1 hectare=10,000 m2×10,000 cm21 m2=108 cm21 \text{ hectare} = 10,000 \text{ m}^2 \times \frac{10,000 \text{ cm}^2}{1 \text{ m}^2} = 10^8 \text{ cm}^2
  3. Combine the conversions

    Now we can substitute these conversions into the original expression:

    1800 ton1 hectare=1800×109 mg108 cm2\frac{1800 \text{ ton}}{1 \text{ hectare}} = \frac{1800 \times 10^9 \text{ mg}}{10^8 \text{ cm}^2} 1800×109108mgcm2=1800×10(9−8)mgcm2\frac{1800 \times 10^9}{10^8} \frac{\text{mg}}{\text{cm}^2} = 1800 \times 10^{(9-8)} \frac{\text{mg}}{\text{cm}^2} 1800×101mgcm2=18000mgcm21800 \times 10^1 \frac{\text{mg}}{\text{cm}^2} = 18000 \frac{\text{mg}}{\text{cm}^2}

    The final answer is 18000mgcm218000 \frac{\text{mg}}{\text{cm}^2}.

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