if 30 m of wire weigh 8kg what will 40m of the same kind of water weigh

To solve this problem, we can use the concept of direct proportionality. Since the weight of the wire is proportional to its length, we can set up a ratio based on the information provided.

Given:
- 30 meters of wire weighs 8 kg
- We need to find the weight of 40 meters of the same wire.

Let \( W \) represent the weight of the 40 meters of wire.

Using the ratio:
\[
\frac{30}{8} = \frac{40}{W}
\]

Now, we can solve for \( W \).

\[
W = \frac{40 \times 8}{30} = \frac{320}{30} = 10.67 \, \text{kg}
\]

So, 40 meters of the same wire will weigh approximately **10.67 kg**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How would the weight change if the wire length doubled?
2. What would be the weight of 50 meters of the same wire?
3. If 20 meters of wire weighs 5.33 kg, how much would 60 meters weigh?
4. How can we verify the proportionality between wire length and weight?
5. If the density of the wire is known, how would you calculate the weight for any given length?

**Tip**: In problems involving proportionality, always check if the quantities are directly or inversely proportional.

if 30 m of wire weigh 8kg what will 40m of the same kind of wire weigh

Discover how to calculate the weight of 40 meters of wire when 30 meters weigh 8 kg using direct proportionality. This problem covers key concepts in ratios and proportionality, suitable for students in Grades 5-7.

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