Question

You are deciding between two cars with different engines and want the bigger of the two. one engine displaces 350 cubic inches. the other displaces 5,500 cubic centimeters. by how many cubic centimeters is the bigger engine larger than the smaller one?

Answer 1

Answer: 235.5

Hope This Helps! :D

Answer 2

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

Explanation:

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (long way).

We will write cubic inches as three "inches" side-by-side:

`350*in*in*in`

This way, we can multiply this by the ratio of centimeters-to-inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

`350*in*in*in*(2.54 cm)/(1 in)*(2.54 cm)/(1 in)*(2.54 cm)/(1 in)`

So, we can cancel the three "inches" top and bottom thus we have the answer in centimeters cubed. And the value is:

`350*2.54*2.54*2.54cm^(3) \\=5735.47cm^(3)`

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than 5500 cubic centimeters engine. By how much?

`5735.5-5500=235.5` cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.