An iron bar of 10 cm length weighs 250 g. Find the weight of a similar bar of length 25 cm.

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Solution

Given:
Weight of the iron bar of length 10 cm = 250 g
Now, let the weight of the iron bar of length 25 cm be x g.
∴ Ratio of the lengths of the iron rods = Ratio of their weights
$\Rightarrow 10 : 25 = 250 : x = \frac{10}{25} = \frac{250}{x} = 250 = 10 \times 25 ∴ x = 25 \times 25 = 625$

Thus, the weight of the iron bar of length 25 cm is 625 g.

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An iron bar of 10 cm length weighs 250 g. Find the weight of a similar bar of length 25 cm.

Given: Weight of the iron bar of length 10 cm = 250 g Now, let the weight of the iron bar of length 25 cm be x g. ∴ Ratio of the lengths of the iron rods = Ratio of their weights ⇒10:25=250:x=1025=250x=250=10×25 ∴ x=25×25=625 Thus, the weight of the iron bar of length 25 cm is 625 g.