Answer:
The hole is 9 inches deep
Explanation:
Volume of a cubicle hole = a^3
Where a= side edge of the cube
Volume of dirt removed = 729 cubic inches
How many inches deep is the hole
Volume of a cubicle hole = a^3
729 = a^3
Find the cube root of both sides
3√729 = 3√ a^3
9 = a
a= 9 inches
The hole is 9 inches deep
Check:
9^3
=9 *9*9
= 729