We are given the dimensions of a block of sodium:
3.00 centimeters x 5.00 centimeters x 5.00 centimeters
and the mass of sodium (total) is 75.5 grams.
We are asked to calculate the density of the sodium block. First we need to determine the volume of the block:
V = l x w x h
V = 3 cm x 5 cm x 5 cm
V = 75 cm^3
Then, using the mass and the volume of the block we can calculate the density. The density of an object is given by:
density = mass / volume
density = 75.5 grams / 75 cm^3
density = 1.01 g / cm^3
Therefore, the density of the sodium block is 1.01 g / cm^3