Question

A rectangular cube has a length of 1.2 cm, a width of 2.4 cm, and a height of 3.0 cm. Its mass is 21.6 g. What is its density?

Answer 1

Answer:

2.5 g/$cm^{3}$

Explanation:

The problem is asking for "density," so we have to know its formula first before we can solve.

Density (ρ) = $\frac{mass}{volume}$

We know the mass of the cube (21.6g) but we don't know its volume. Let's check out the formula for volume.

Volume = length x width x height

Let's substitute the values.

Volume = 1.2 cm x 2.4 cm x 3 cm = 8.64 $cm^{3}$

Now that we have the volume, we can already solve for the density of the cube.

Density = $\frac{21.6g}{8.64 cubic cm}$ = 2.5 g/$cm^{3}$