The video tutorial explores the applications of geometry in determining car engine sizes. It begins with an introduction to engine sizes using antique cars as examples. The tutorial then delves into the mechanics of engines, explaining components like pistons, crankshafts, and valves. It provides a detailed calculation of engine volume using the bore and stroke, demonstrating how to determine cubic inches. The video concludes with a review and introduces the next topic, trigonometry.

What is the engine size of the 1977 Pontiac mentioned in the video?

• 400 cubic inches

• 352 cubic inches

• 390 cubic inches

• 406 cubic inches

Which component of the engine is responsible for converting vertical movement into rotary movement?

• Spark plug

• Connecting rod

• Crankshaft

• Piston

In a four-stroke engine, which stroke involves the spark plug firing?

• Intake stroke

• Compression stroke

• Power stroke

• Exhaust stroke

What is the formula used to calculate the volume of an engine cylinder?

• Volume = length * width * height

• Volume = length * pi * radius squared

• Volume = pi * radius squared * height

• Volume = 2 * pi * radius

If the bore of a cylinder is 4 inches, what is the radius?

• 3 inches

• 4 inches

• 2 inches

• 1 inch

How many cylinders does the engine discussed in the video have?

• 10 cylinders

• 8 cylinders

• 6 cylinders

• 4 cylinders

What is the displacement of a single cylinder in the engine example given?

• 352 cubic inches

• 43 cubic inches

• 4396 cubic inches

• 3516 cubic inches

What is the total engine displacement for the engine with eight cylinders?

• 3516 cubic inches

• 400 cubic inches

• 352 cubic inches

• 4396 cubic inches

What should students do after completing the problems and review pages?

• Skip to trigonometry

• Watch the video again

• Move on to the next chapter

• Take a test

What is the next topic introduced after engine displacement?

• Statistics

• Trigonometry

• Calculus

• Algebra