Question

convert 454 in³ into cm³ and into ml. (2.54 cm = 1 in). calculate the final answer. 16.387 cm³ (454 in³)(------------) = 7.44 cm³ 1 in³ 16.387 cm³ (454 in³)(------------) = 7.44 x 10⁻³ cm³ 1 in³ 16.387 cm³ (454 in³)(------------) = 7.44 x 10³ cm³ 1 in³

Explanation:

Step1: Find conversion factor for volume

Since $2.54\ cm = 1\ in$, then $(2.54\ cm)^3=1\ in^3$, so $1\ in^3 = 2.54^3\ cm^3=16.387064\ cm^3\approx16.387\ cm^3$.

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

Multiply $454\ in^3$ by the conversion factor. $V = 454\ in^3\times\frac{16.387\ cm^3}{1\ in^3}=454\times16.387\ cm^3 = 7440.698\ cm^3\approx7.44\times 10^{3}\ cm^3$.
Also, since $1\ cm^3 = 1\ mL$, the volume in $mL$ is also $7.44\times 10^{3}\ mL$.

Answer:

The correct option is: $16.387\ cm^3$, $(454\ in^3)(\frac{16.387\ cm^3}{1\ in^3}) = 7.44\times 10^{3}\ cm^3$