Question

convert 454 in³ into cm³ and into ml. (2.54 cm = 1 in). calculate the required conversion factor from 2.54 cm = 1 in. 2.54 cm = 1 in 2.54 cm = 1 in (2.54 cm)³ = (1 in)³ 7.62 cm³ = 1 in³ 2.54 cm = 1 in (2.54)³ = (1)³ 16.387 = 1 2.54 cm = 1 in (2.54 cm)³ = (1 in)³ 16.387 cm³ = 1 in³

Explanation:

Step1: Find volume - conversion factor

Given $2.54\ cm = 1\ in$, cube both sides: $(2.54\ cm)^3=(1\ in)^3$.
Calculate $(2.54)^3 = 16.387064\approx16.387$, so $16.387\ cm^3 = 1\ in^3$.

Step2: Convert $454\ in^3$ to $cm^3$

Multiply the volume in $in^3$ by the conversion - factor. Let $V$ be the volume in $cm^3$. Then $V = 454\ in^3\times\frac{16.387\ cm^3}{1\ in^3}=454\times16.387\ cm^3 = 7449.698\ cm^3$.

Step3: Convert $cm^3$ to $mL$

Since $1\ cm^3 = 1\ mL$, then $7449.698\ cm^3=7449.698\ mL$.

Answer:

$454\ in^3$ is $7449.698\ cm^3$ and $7449.698\ mL$