Question

A designer builders a model of a bicycle the finished model is exactly the same as the original but smaller. The scale factor is 2:15 (A) ratio of height ☑️:☑️ (B)surface area ☑️:☑️ (C)volume ☑️:☑️

Answer 1

a) The ratio of height is 2:15

b) The ratio of surface area is 4:225

c) The ratio of volume is 8:3375

Explanation:

The scale factor of model to original is 2 :15

Please remember the concept, when scale factor is a:b

Then ratio of sides would be same a:b

The ratio of surface area is
`a^(2) :b^(2)`

The volume is
`a^(3) :b^(3)`

According to the concept,

The ratio of height is 2:15

The ratio of surface area is
`2^(2) :15^(2)` =4:225

The ratio of volume is
`2^(3) :15^(3)` =8 :3375.