Math

QuestionConvert the engine volume of 4320 cm34320 \mathrm{~cm}^{3} to cubic inches.

Studdy Solution

STEP 1

Assumptions1. The volume of the engine is 4320 cm34320 \mathrm{~cm}^{3}. . We need to convert this volume from cubic centimeters to cubic inches.
3. The conversion factor from cubic centimeters to cubic inches is 1 cm3=0.0610237 in31 \mathrm{~cm}^{3} =0.0610237 \mathrm{~in}^{3}.

STEP 2

We can find the volume in cubic inches by multiplying the volume in cubic centimeters by the conversion factor.
Volumein=VolumecmtimesConversionfactorVolume_{in} = Volume_{cm} \\times Conversion\, factor

STEP 3

Now, plug in the given values for the volume in cubic centimeters and the conversion factor to calculate the volume in cubic inches.
Volumein=4320 cm3times0.0610237 in3/cm3Volume_{in} =4320 \mathrm{~cm}^{3} \\times0.0610237 \mathrm{~in}^{3}/\mathrm{cm}^{3}

STEP 4

Calculate the volume in cubic inches.
Volumein=4320 cm3times0.0610237 in3/cm3=263.585 in3Volume_{in} =4320 \mathrm{~cm}^{3} \\times0.0610237 \mathrm{~in}^{3}/\mathrm{cm}^{3} =263.585 \mathrm{~in}^{3}The engine has a volume of approximately263.585 cubic inches.

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