You are given a cube with a length of 2.5 cm, a width of 2.5 cm, and a height of 2.5 cm. You place it on a scale, and its mass is 295 g. What is its density?

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Answer 1 · 2018-06-26T01:35:09

The density of the cube is #"18.9 g/cm"^3"#.

Density is mass per unit of volume. The density formula is:

#D=M/V#,

where:

#D# is density, #M# is mass, and #V# is volume.

You have been given the mass as #"295 g"#, and you have been given the dimensions of the cube so you can calculate its volume.

For a cube, #V="s"^3#. For the cube in the question:

#V=("2.5 cm")^3="15.625 cm"^3"#

Now plug in the mass and volume and solve for density.

#D=("295 g")/("15.625 cm"^3)="18.9 g/cm"^3"# (rounded to three significant figures)