5. A MP8 Mack Semi Truck Diesel Engine has the volume of 780 cubic inches

Part A: Which scale model n has the greatest engine volume, a 1:8 scale model or a 1/24

scale model

Part B: How much greater volume does the bigger scale model have?

A) 1:8 scale model has the greatest engine volume

B) 1.467 cubic inches

Step-by-step explanation:

Part A

For the scale 1:8 the volume of the scale engine is:

(1/8) ³ = V/780

V = 780/8³

V = 1.523 cubic inches

For the scale 1:24 the volume of the scale engine is:

(1/24) ³ = V/780

V = 780/24³

V = 0.056 cubic inches

Part B

The difference between both volumes is: 1.523 - 0.056 = 1.467 cubic inches