Answer:
30 cubic centimeters
Step-by-step explanation:
The edge length given in the question for one cube is [tex]\frac{1}{3}[/tex] cm.
We know volume of a cube with edge length [tex]a[/tex] is calculated as
[tex]V=a^3[/tex]
Thus volume of one cube = [tex](\frac{1}{3} )^3 = \frac{1}{27}[/tex] cubic centimeters
So,
The volume of 810 cubes = [tex]810\times \frac{1}{27}[/tex] = 30 cubic centimeters
As the prism is filled with total 810 cubes, so the volume of the prism will be equal to the volume of 810 cubes i.e. 30 cubic centimeters.
