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Question
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 ______.
Options
125 : 216
5 : 3
3 : 5
216 : 125
MCQ
Fill in the Blanks
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Solution
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 5 : 3.
Explanation:
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 = `1000/216`
⇒ k3 = `(10/6)^3`
⇒ k = `10/6 = 5/3` = 5 : 3
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