A block of wood 3.0 cm on each side has a mass of 27 g. What is the density of this block?

2 Answers
Daniel L.
Jul 8, 2018

The density is #1g/(cm^3)#. See explanation.

Explanation:

The density of an object is calculated as the ratio of its mass and volume:

#d=m/V#

Here the volume is not given, but can be calculated using the given dimension:

#V=a^3#

Now we can calculate the density using the given data:

#V=m/(a^3)#

Now we can put the values:

#V=27/(3^3)=27/27=1#

Answer: The density is #d=1g/(cm^3)#.

anor277
Jul 8, 2018

#rho_"block"=1*g*cm^-3#

Explanation:

#rho_"density"="Mass of stuff"/"volume of stuff"#.

Here we got a cube whose mass is #27*g#...and we know how to calculate the volume of a cube, i.e. it is simpy the CUBE of an edge length...

And so #rho_"block"=underbrace(27*g)_"mass of the block"/underbrace(3*cmxx3*cmxx3*cm)_"volume of the block"=(27*g)/(27*cm^3)=1*g*cm^-3#.

Would the block of wood float on water?

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