Question

The density (mass/volume) of aluminum is 2.70 x 10³ kilograms per cubic meter (kg/m³). What is the mass of an aluminum cylinder that has a volume of 1.50 m³?

a. 5.56 x 10⁻⁴ kg
b. 1.50 x 10⁻³ kg
c. 1.80 x 10³ kg
d. 4.05 x 10³ kg

Answer 1

d.
`4.05* 10^3 kg`

Explanation:

we have the following data:

density of aluminum:
`2,70 * 10^3  (Kg)/(m^3)`.

Volume of the cylinder:
`1,50 m^3`

We have the density formula:

`\mbox{density}=\frac{\mbox{mass}}{\mbox{volume}}`

So, if we solve that formula for the mass we obtain:

`\mbox{mass}=\mbox{density}* {\mbox{volume}}`.

Then, replacing the values of density of aluminum and cylinder volume we have

`\mbox{mass}=2,70 * 10^3(kg)/(m^3)* 1,50 m^3`

Note that the quantities are in scientific notation. Then for the computation we first multiply in a calculator
`2,70* 1,50 = 4,05`, and then we note that the
`m^3` terms are canceled. And we do not touch the term
`10^3` so that the result is expressed in scientific notation.

So we have that the answer is
`4,05 * 10^3 kg`.