Question

The volume of a 1968 ford mustang gt engine is 390 cubic inches"

Which scale mod of the mustang has the greater volume, a 1:18 or a 1:24? How much greater?

Answer 1

1:18 Is about 0.04 Cubic Inches greater.

Explanation:

V/390= (1/18)^3

V=390/5832 = 0.067

V/390= (1/24)^3

V=390/13824 = 0.028

= 0.067 - 0.028

= 0.039

= 0.04

Therefore 1:18 Is about 0.04 Cubic Inches Greater

Answer 2

Simple explanation: when you scale all of the sides of a prism, the volume changes by the scale factor CUBED (it's distributing to all of the sides)

Just put in your calculator:


`(390)/(18^3) - (390)/(24^3)`

(We know that 18*18*18 is going to be larger than 24*24*24, and when you divide something by a larger number, it's going to be less, so the 1:24 model is going to have a lesser volume)
and you should get an answer about equal to


`\boxed{0.04\ in^3}`

(I'm pretty sure your teacher doesn't want a fraction, because the exact answer is
`(2405)/(62208)`)