Question

The density of aluminum is 2.375 grams per cubic centimeter. Find the volume of a portion of a sheet of aluminum that has a mass of 0.78 kilograms? a. 3.04 cubic centimeters b. 1.8525 cubic centimeters c. 328.4 cubic centimeters d. 0.00304 cubic centimeters

Answer 1

To find the volume of a portion of a sheet of aluminum with a given mass, divide the mass by the density of aluminum. In this case, the volume is approximately 328.42 cubic centimeters.

Step-by-step explanation:

To find the volume of a portion of a sheet of aluminum with a given mass, we can use the formula:

Volume = Mass / Density

In this case, the given mass is 0.78 kilograms, which is equal to 780 grams. The density of aluminum is given as 2.375 grams per cubic centimeter. Plugging these values into the formula:

Volume = 780 g / 2.375 g/cm³

Simplifying the calculation:

Volume = 328.42 cm³

Therefore, the volume of the portion of the sheet of aluminum is approximately 328.42 cubic centimeters.

Answer 2

The volume of a portion of a sheet of aluminum with a mass of 0.78 kilograms is approximately 328.4 cubic centimeters.

Step-by-step explanation:

To find the volume of a portion of a sheet of aluminum that has a mass of 0.78 kilograms, we need to use the formula for density, which is p = m/V, where p is density, m is mass, and V is the volume. Given that the density of aluminum is 2.375 grams per cubic centimeter (g/cm³), we first convert the mass from kilograms to grams since the density is given in grams per cubic centimeter.

Mass in grams: 0.78 kg * 1000 g/kg = 780 grams

Now, rearrange the density formula to solve for volume, V = m/p:

Volume of aluminum: 780 g / 2.375 g/cm³ = 328.4210526 cm³

Thus, the volume of the portion of the aluminum sheet is approximately 328.4 cubic centimeters (c).