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QuestionConvert 90 cm390 \mathrm{~cm}^{3} to m3\mathrm{m}^{3}.

Studdy Solution

STEP 1

Assumptions1. We are converting from cubic centimeters (cm³) to cubic meters (m³). . We know that1 meter is equal to100 centimeters.

STEP 2

First, we need to understand the relationship between cubic centimeters and cubic meters. Since1 meter is equal to100 centimeters,1 cubic meter is equal to (100 \, cm)^.
1 \, m^ = (100 \, cm)^

STEP 3

Calculate the value of (100 cm)3(100 \, cm)^3.
1 m3=(100 cm)3=1,000,000 cm31 \, m^3 = (100 \, cm)^3 =1,000,000 \, cm^3

STEP 4

Now that we know1 cubic meter is equal to1,000,000 cubic centimeters, we can use this to convert90 cubic centimeters to cubic meters. We can do this by dividing the number of cubic centimeters by1,000,000.
Volume in m3=Volume in cm31,000,000Volume \, in \, m^3 = \frac{Volume \, in \, cm^3}{1,000,000}

STEP 5

Plug in the given volume in cubic centimeters to calculate the volume in cubic meters.
Volume in m3=90 cm31,000,000Volume \, in \, m^3 = \frac{90 \, cm^3}{1,000,000}

STEP 6

Calculate the volume in cubic meters.
Volume in m3=90 cm31,000,000=0.00009 m3Volume \, in \, m^3 = \frac{90 \, cm^3}{1,000,000} =0.00009 \, m^3So, 90 cm390 \, cm^3 is equal to 0.00009 m30.00009 \, m^3.

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