Casey dug a cubical hole to bury a memory box as a time capsule. The volume of the dirt he removed is 729 cubic inches. How many inches deep is the hole?

The hole is 9 inches deep

Step-by-step 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

step-by-step explanation:

sry but any answer choices

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: