Question

A car company sells a scale model to of the size of one of its cars.

Complete the following table.
Scale Model
Real Car
2
Area of windscreen (cm)
135
V25
[3]
3
Volume of storage space (cm)
408000

Answer 1

`w = 13500` --- real windscreen

`v = 408` --- scale volume

Explanation:

Given

`k = (1)/(10)` --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

`w = (w_(scale))/(k^2)`

This gives:

`w = (135)/((1/10)^2)`

`w = (135)/(1/100)`

`w = 13500`

Next, the volume (v) of the scale mode

We make use of the following computation

`v = v_(real) * k^3`

So, we have:

`v = 408000 * (1/10)^3`

`v = 408000 * 1/1000`

`v = 408`