how many centimeters cube of olive oil of density 0.92g/ml have the same mass as 1.00L of gasoline of density 0.66g/ml?

the gas has mass 660g

so, for the oil,

660g / (.92g/ml) = 717ml

To find the number of cubic centimeters (cm³) of olive oil that have the same mass as 1.00 liter (L) of gasoline, we need to consider their densities and the conversion factor between milliliters (ml) and cubic centimeters.

First, we need to convert 1.00 L of gasoline to milliliters. Since 1 L is equal to 1000 ml, 1.00 L of gasoline is equal to 1000 ml.

Next, we can use the formula for density, which is mass divided by volume, to find the mass of gasoline. The formula can be rearranged to solve for mass: mass = density × volume.

Given that the density of gasoline is 0.66 g/ml and the volume is 1000 ml, we can calculate the mass of gasoline as follows:
mass_gasoline = 0.66 g/ml × 1000 ml = 660 g.

Now, we can find the number of cubic centimeters of olive oil with the same mass as 660 g of gasoline. To do this, we'll divide the mass of gasoline by the density of olive oil.

Given that the density of olive oil is 0.92 g/ml, we can calculate the volume of olive oil as follows:
volume_olive oil = mass_gasoline / density_olive oil = 660 g / 0.92 g/ml ≈ 717.39 ml.

Finally, since 1 ml is equal to 1 cm³, the volume of olive oil in cubic centimeters is approximately equal to 717.39 cm³.

Therefore, approximately 717.39 cubic centimeters (cm³) of olive oil of density 0.92 g/ml have the same mass as 1.00 liter (L) of gasoline of density 0.66 g/ml.