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 ______.

विकल्प

• 125 : 216

• 5 : 3

• 3 : 5

• 216 : 125

Answer 1

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