DelaliL492348 DelaliL492348
  • 03-11-2022
  • Mathematics
contestada

Convert 1 in^3 into cm^3 using the measurement conversion 1 inch= 2.54 cm. Round yo two decimals.

Respuesta :

CasenO673043 CasenO673043
  • 03-11-2022

A cubic inch is the same an inch to the third power.

[tex]in^3=in\times in\times in[/tex]

If we use our measurement conversion

[tex]1in=2.54\operatorname{cm}[/tex]

In our previous equation, we have

[tex]in\times in\times in=2.54\operatorname{cm}\times2.54\operatorname{cm}\times2.54\operatorname{cm}[/tex]

Solving this product, we have

[tex]2.54\operatorname{cm}\times2.54\operatorname{cm}\times2.54\operatorname{cm}=16.387064cm^3[/tex]

Then, this is our answer.

[tex]1in^3=16.387064cm^3[/tex]

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