Problem

Question 4
If there are $2.54 \mathrm{~cm}$ in one inch (and there are!), how many $\mathrm{cm}^{3}$ are there in $1 \mathrm{in}^{3}$ ?

Answer

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Answer

Therefore, there are approximately \(\boxed{16.39 \mathrm{~cm}^{3}}\) in 1 cubic inch.

Steps

Step 1 :We are given that 1 inch is equal to 2.54 cm.

Step 2 :To convert cubic inches to cubic centimeters, we need to cube the conversion factor. This is because we are converting a volume (which is a three-dimensional measurement) rather than a length (which is a one-dimensional measurement).

Step 3 :So, we calculate \(2.54^3\) to get the cubic conversion factor.

Step 4 :The cubic conversion factor is approximately 16.39.

Step 5 :Therefore, there are approximately \(\boxed{16.39 \mathrm{~cm}^{3}}\) in 1 cubic inch.

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