convert 454 in³ into cm³ and into ml. (2.54 cm = 1 in). calculate the final answer in ml. 1 (7.44 x…

Explanation:

Step1: Use conversion factor for volume

Since (1) in ( = 2.54) cm, then (1) in(^{3}=(2.54)^{3}) cm(^{3}). [1\mathrm{in}^{3}=(2.54)^{3}\mathrm{cm}^{3}=16.387064\mathrm{cm}^{3}] To convert (454) in(^{3}) to cm(^{3}), we multiply by the conversion - factor: [V_{cm^{3}} = 454\times16.387064\mathrm{cm}^{3}] [V_{cm^{3}}=454\times16.387064 = 7449.727056\mathrm{cm}^{3}\approx7.44\times 10^{3}\mathrm{cm}^{3}]

Step2: Use the relationship between cm(^{3}) and mL

We know that (1) cm(^{3}=1) mL. To convert the volume from cm(^{3}) to mL, we multiply by the conversion factor (\frac{1\mathrm{mL}}{1\mathrm{cm}^{3}}). If (V = 7.44\times 10^{3}\mathrm{cm}^{3}), then (V_{mL}=(7.44\times 10^{3}\mathrm{cm}^{3})\times\frac{1\mathrm{mL}}{1\mathrm{cm}^{3}} = 7.44\times 10^{3}\mathrm{mL})

Answer:

(7.44\times 10^{3}\mathrm{mL})