SOLUTION: What is the approximate volume of a can in cubic inches, if the volume of the can is 350 cubic centimeters?

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Question 448094: What is the approximate volume of a can in cubic inches, if the volume of the can is 350 cubic centimeters?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Use the idea that 1 inch = 2.54 centimeters (approximately).

So if 1 inch is 2.54 centimeters, then cubing both sides of the equation would give you

1 cubic inch = 16.387064 cubic centimeters

Note: . Also, keep in mind of the units.

So 1 cubic inch is equivalent to roughly 16.387064 cubic centimeters

Now that we know that 1 cubic inch = 16.387064 cubic centimeters, divide both sides by 16.387064 to get

(1 cubic inch)/(16.387064) = (16.387064 cubic centimeters)/(16.387064)

0.0610237 cubic inches = 1 cubic centimeter .... Note: (roughly).

So this reverses things and tells us that 1 cubic centimeter is equal to about 0.0610237 cubic inches

So 1 cubic centimeter = 0.0610237 cubic inches

1 cubic centimeter = 0.0610237 cubic inches ... Start with the given equation

350*1 cubic centimeter = 350*0.0610237 cubic inches ... Multiply both sides by 350 (we want the left side to be 350 cubic centimeters)

350 cubic centimeter = 21.358295 cubic inches ... Multiply (note: )

So there are approximately 21.358295 cubic inches in 350 cubic centimeters.

So the volume of the can is approximately 21.358295 cubic inches