One component of a metal sculpture consists of a solid cube with an edge of length 38.3cm. The alloy used to make the cube has a density of 6010kg/m^3. Find the cubes mass.

Question

The answer is set up this way:

m= kg

This is a general chemistry problem.

Answer 1

Hello, Olivia,

Let's start by finding the volume of the cube, which will be Vol = a³, where a is an edge length. In this case a= 38.3 cm. Since this is chemistry, we should expect a p

esky conversion somewhere, and we've arrived. The density is expressed as kg/m³, whereas the volume we would calculate, given a measuement in cm, would be cm³. It's easier for me to remember that 1cm = 0.01 meter, than how many cm³ in m³. So let's convert the 38.3 cm length before cubing it.

(38.3 cm)*(0.01 m/cm) = 0.383 m

Now let's cube the length: Vol = (0.383 m)³

Vol = 0.05618 m³

Mass = Volume*Density

Mass = (0.05618 m³)*(6060 kg/m³) = 340.46 kg

340 kg to 3 sig figs

Bob