Answer: The length of the edge of the crate is 3 feet.
Explanation:
The formula of the volume of a cube is the cube of edge length.
The volume of the cube (V) = (edge)³ ...................................(1)
In the given question volume is 27 cubic feet.
So, V = 27 cubic feet
Now we replace the Volume with the edge using equation (1)
i.e. (edge)³ = 27
or we can say that the cube root of the edge is equal to 27
i.e. edge = ∛27
which is equal to 3
hence, edge = 3 feet
To calculate the cube root write prime factors of 27 and group them in groups of three
i.e. ∛27 = ∛(3×3×3) = ∛ (3)³ = 3