what is the height of a block with a length of 10cm a width of 5cm a mass of 50g and a density of 8.64g/cm3

1.2 mm

a) Calculate the volume of the block

V = 50 g x (1 cm^3/8.64 g) = 5.79 cm^3

b) Calculate the height of the block

The formula for the volume (V) of a block is

V = lwh

where

l = the length of the block

w = the width of the block

h = the height of the block

We can solve this formula for the height.

h = V / (lw)

∴ h = 5.79 cm^3 / (10 cm x 5 cm) = 0.12 cm = 1.2 mm