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A and B are two similar containers with capacities 216 m3 and 1000 m3 respectively. The scale factor of B with respect to A is :

  1. 125 : 216

  2. 5 : 3

  3. 3 : 5

  4. 216 : 125

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Answer

Let scale factor of B with respect to A be k.

Given,

A and B are two similar containers with capacities 216 m3 and 1000 m3 respectively.

Volume of container B = k3 × Volume of container A

⇒ 1000 = k3 × 216

⇒ k3 = 1000216\dfrac{1000}{216}

⇒ k3 = (106)3\Big(\dfrac{10}{6}\Big)^3

⇒ k = 106=53\dfrac{10}{6} = \dfrac{5}{3} = 5 : 3.

Hence, Option 2 is the correct option.

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