Math

QuestionFind the value of \square in the equation (38cm3)=?m3(38 \mathrm{cm}^3) \cdot \square = ? \mathrm{m}^3.

Studdy Solution

STEP 1

Assumptions1. The given volume is in cubic centimeters (cm³). . We need to convert this volume to cubic meters (m³). 3.1 m³ =1,000,000 cm³. This is the conversion factor we will use.

STEP 2

We need to find the missing part of the equation, which is the conversion factor from cubic centimeters to cubic meters.(38cm)=?m\left(38 \, cm^{}\right) \cdot \square = ? \, m^{}

STEP 3

We know that1 m³ =1,000,000 cm³. Therefore, the conversion factor (denoted by the square) is1/1,000,000.
=11,000,000\square = \frac{1}{1,000,000}

STEP 4

Now, we can substitute the conversion factor into the equation.
(38cm3)11,000,000=?m3\left(38 \, cm^{3}\right) \cdot \frac{1}{1,000,000} = ? \, m^{3}

STEP 5

Calculate the volume in cubic meters.
?m3=38cm311,000,000? \, m^{3} =38 \, cm^{3} \cdot \frac{1}{1,000,000}

STEP 6

Perform the multiplication.
?m3=3811,000,000=0.000038m3? \, m^{3} =38 \cdot \frac{1}{1,000,000} =0.000038 \, m^{3}The missing part of the equation is 11,000,000\frac{1}{1,000,000} and the result of the equation is 0.000038m30.000038 \, m^{3}.

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