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if the weight of 1 cu cm thing is 46 g, ...

if the weight of 1 cu cm thing is 46 g, then find the weight of a thing 1 cu cm in kilo gram.

A

0.1 kg

B

0.046 kg

C

0.001 kg

D

1.001 kg

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The correct Answer is:
To solve the problem of converting the weight of 1 cubic centimeter (cu cm) from grams to kilograms, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Information:** - We know that the weight of 1 cubic centimeter is 46 grams. 2. **Understand the Conversion Factor:** - We need to convert grams to kilograms. The conversion factor is: \[ 1 \text{ kilogram} = 1000 \text{ grams} \] 3. **Set Up the Conversion:** - To convert grams to kilograms, we divide the number of grams by 1000. Therefore, we can express the weight in kilograms as: \[ \text{Weight in kilograms} = \frac{\text{Weight in grams}}{1000} \] 4. **Perform the Calculation:** - Substitute the weight in grams (46 grams) into the equation: \[ \text{Weight in kilograms} = \frac{46 \text{ grams}}{1000} \] 5. **Calculate the Result:** - Now, perform the division: \[ \text{Weight in kilograms} = 0.046 \text{ kilograms} \] 6. **Conclusion:** - Therefore, the weight of 1 cubic centimeter in kilograms is: \[ \text{Weight} = 0.046 \text{ kg} \] ### Final Answer: The weight of 1 cubic centimeter is **0.046 kilograms**.
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