Math

QuestionConvert 15,708 gallons to ccf using the conversion factor: 1 ccf = 748 gallons.

Studdy Solution

STEP 1

Assumptions1. The given volume is15,708 gallons. . We need to convert this volume to ccf (hundred cubic feet).
3. The conversion factor between gallons and cubic feet is1 gallon =0.133681 cubic feet.
4. The conversion factor between cubic feet and ccf is1 ccf =100 cubic feet.

STEP 2

First, we need to convert the volume from gallons to cubic feet. We can do this by multiplying the volume in gallons by the conversion factor.
Volumecubicfeet=VolumegallonstimesConversionfactorgallonstocubicfeetVolume_{cubic\, feet} = Volume_{gallons} \\times Conversion\, factor_{gallons\, to\, cubic\, feet}

STEP 3

Now, plug in the given values for the volume in gallons and the conversion factor to calculate the volume in cubic feet.
Volumecubicfeet=15,708gallonstimes0.133681cubicfeet/gallonVolume_{cubic\, feet} =15,708\, gallons \\times0.133681\, cubic\, feet/gallon

STEP 4

Calculate the volume in cubic feet.
Volumecubicfeet=15,708gallonstimes0.133681cubicfeet/gallon=2,099.99cubicfeetVolume_{cubic\, feet} =15,708\, gallons \\times0.133681\, cubic\, feet/gallon =2,099.99\, cubic\, feet

STEP 5

Now that we have the volume in cubic feet, we can convert this to ccf. We can do this by dividing the volume in cubic feet by the conversion factor.
Volumeccf=Volumecubicfeet/ConversionfactorcubicfeettoccfVolume_{ccf} = Volume_{cubic\, feet} / Conversion\, factor_{cubic\, feet\, to\, ccf}

STEP 6

Now, plug in the given values for the volume in cubic feet and the conversion factor to calculate the volume in ccf.
Volumeccf=2,099.99cubicfeet/100cubicfeet/ccfVolume_{ccf} =2,099.99\, cubic\, feet /100\, cubic\, feet/ccf

STEP 7

Calculate the volume in ccf.
Volumeccf=2,099.99cubicfeet/100cubicfeet/ccf=21ccfVolume_{ccf} =2,099.99\, cubic\, feet /100\, cubic\, feet/ccf =21\, ccfThe volume of15,708 gallons is equivalent to21 ccf.

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