What is 16.7 cubic feet expressed in cubic centimeters? ( 1 in = 2.54 cm) _______[a]_______cm3
So for the answer I got is 4.72E15cm3. but it says that its wrong.
16.7 ft^3 x (12 in/ft)^3 x (2.54 cm/in)^3 = ?
You're 4.72 is right. The exponent is wrong.
I have 472891.3
To convert cubic feet to cubic centimeters, we need to use the conversion factor of 1 cubic inch = 2.54^3 cubic centimeters.
First, let's convert cubic feet to cubic inches by multiplying by the conversion factor:
16.7 cubic feet * (12 inches/1 foot)^3 = 16.7 * 12^3 cubic inches
Now we can convert cubic inches to cubic centimeters by multiplying by the conversion factor:
16.7 * 12^3 cubic inches * (2.54 cm/1 inch)^3 = 16.7 * (12 * 2.54)^3 cubic centimeters
Simplifying the calculation:
16.7 * (12 * 2.54)^3 = 16.7 * 30.48^3 cubic centimeters
Using a calculator to evaluate the expression:
16.7 * 30.48^3 = 16.7 * 28,316.8464 = 473,524.1248 cubic centimeters
Therefore, 16.7 cubic feet is equal to 473,524.1248 cubic centimeters.
To convert cubic feet to cubic centimeters, you need to know the conversion factor between the two units. In this case, you have the conversion factor of 1 inch being equal to 2.54 centimeters.
First, let's convert cubic feet to cubic inches:
16.7 cubic feet * (12 inches/1 foot)^3 = 16.7 * 12^3 cubic inches
Next, since we want to convert cubic inches to cubic centimeters, we'll use the conversion factor of 1 inch equal to 2.54 centimeters:
16.7 * 12^3 cubic inches * (2.54 centimeters/1 inch)^3 = 16.7 * 12^3 * (2.54)^3 cubic centimeters
Now, let's calculate this expression:
16.7 * 12^3 * (2.54)^3 ≈ 4.7245 * 10^15 cubic centimeters
Therefore, the correct answer is approximately 4.72E15 cm3, which matches your answer. It seems that the system marking your answer as wrong may be a mistake.