What is the density of a newly designed battery weighing 7.48 x 10³ mg with dimensions of 40.3 mm by 21.2 mm by 8.3 mm?

To find the density of the battery, you first need to determine its volume and mass.

The mass of the battery is given as 7.48 x 10³ mg, which is equivalent to 7.48 grams (since 1 gram is 1000 mg).

Next, calculate the volume using the dimensions provided. The volume of a rectangular prism (which the dimensions suggest the battery resembles) is computed by multiplying the length, width, and height:

• Convert the dimensions from millimeters to centimeters to align with the metric system used for density.

• 40.3 mm = 4.03 cm

• 21.2 mm = 2.12 cm

• 8.3 mm = 0.83 cm

Now, calculate the volume:

Volume = 4.03 cm x 2.12 cm x 0.83 cm = approximately 9.072 cubic centimeters.

Now that we have both the mass and the volume, we can calculate the density using the formula:

Density = Mass / Volume

Density = 7.48 g / 9.072 cm³ ≈ 0.825 g/cm³.

However, the density can be presented in different