An aluminum engine block has a volume of 4.77 L and a mass of 12.88 kg. What is the density of the aluminum in grams per cubic centimeter?

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Kara Dillon · Accepted Answer

The density of an object is given by:  density=massvolume  Substituting given,  density=12.88kg4.77L  Recall that 1kg =1000g and 1 L=1000 cubic centimeters so:  density=12.88kg4.77L×1000 g1 kg×1 L1000 cm3  density≈2.70gcm3  Result: 2.70 gcm3

Mr Solver · Accepted Answer

Step 1:To solve the problem, we can use the formula for density:Density=MassVolumeGiven that the volume of the aluminum engine block is 4.77 L and the mass is 12.88 kg, we can substitute these values into the formula:Density=12.88kg4.77LHowever, to convert the units to grams per cubic centimeter, we need to convert the mass from kilograms to grams and the volume from liters to cubic centimeters.Step 2:To convert the mass from kilograms to grams, we multiply by 1000 (since 1 kilogram is equal to 1000 grams):Density=12.88kg×1000g/kg4.77LTo convert the volume from liters to cubic centimeters, we multiply by 1000 (since 1 liter is equal to 1000 cubic centimeters):Density=12.88kg×1000g/kg4.77L×1000cm3/LStep 3:Simplifying the expression gives us:Density=12.88×1000g4.77×1000cm3Canceling out the common factors of 1000, we have:Density=12.88g4.77cm3Thus, the density of the aluminum is 12.88g4.77cm3.

madeleinejames20 · Accepted Answer

Given that the volume of the aluminum engine block is 4.77 L (V=4.77L) and the mass is 12.88 kg (m=12.88kg), we can substitute these values into the formula to find the density.{density}=12.88kg4.77LTo convert the volume from liters to cubic centimeters, we know that 1 L is equivalent to 1000cm3. Therefore, we can multiply the volume by 1000.{density}=12.88kg4.77L×1000cm3/LNow we can simplify and calculate the density.{density}=12.88×10004.77g/cm3Evaluating this expression gives us the density of the aluminum as 2.70g/cm3.

Nick Camelot · Accepted Answer

Result:2.70 g/cm3Solution:Now, we can use the formula for density:Density=MassVolumeGiven that the volume of the aluminum engine block is 4.77 L and the mass is 12.88 kg, we can substitute these values into the formula:Density=12.88kg4.77LHowever, we need to convert the volume from liters to cubic centimeters (cm3) because the desired unit for density is grams per cubic centimeter (g/cm3).We know that 1 L is equal to 1000 cm3, so we can convert the volume as follows:Volume=4.77{L}×1000{cm}3/{L}=4770{cm}3Now, we can substitute the values into the formula and calculate the density:Density=12.88kg4770{cm3}Evaluating this expression gives us:Density≈0.00270{g/cm}3Therefore, the density of the aluminum engine block is approximately 2.70 g/cm3.

An aluminum engine block has a volume of 4.77 L and a mass of 12.88 kg. What is

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