A cube measures 2.0 cm on each edge and has a mass of 64.7 g. Calculate the density of the material that composes the cube. (The volume of a cube is equal to the edge length cubed.)?

2 Answers

Answer:

#"8.1 g/cm"^3#

Explanation:

Density is equal to mass divided by volume. You are given a mass of #64.7# grams. You can find the volume of the cube by doing height multiplied by width multiplied by depth.

Because all of the sides of a cube are the same length, the volume just ends up being #2^3#.

#("2 cm")^3="8 cm"^3#

Now plug both of those numbers into your density equation

#rho = m/V = "64.7 g"/"8 cm"^3 = "8.1 g/cm"^3#

Mar 6, 2018

Answer:

Approximately #8.09 \ "g/cm"^3#.

Explanation:

Density is defined by the equation

#rho=m/V#

where #m# is the mass of the object, and #V# is the volume of the object.

We have a cube with sides #2 \ "cm"# and a mass of #64.7 \ "g"#. We know that the volume of a cube is #s^3#, where #s# is its side.

So, the volume of this cube is #(2 \ "cm")^3=8 \ "cm"^3#.

Now, we just plug in values into the density equation.

#rho=(64.7 \ "g")/(8 \ "cm"^3)#

#~~8.09 \ "g/cm"^3#