Answer: The length of each side of the building block is 0.56 feet
Explanation:
A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . Each of the building blocks has 6 faces which are squares, 8 vertices and 12 edges.
Since a square has all sides to be equal sides,
The volume of the cube = the volume of the building block =
Product of length,L, width, W and height, H.
Volume of the building block = L × W × H
Since length = width = height,
Volume of cube = L^3
From the information given,
Volume of a building block = 125/729ft cubed
L^3 = 125 / 729
Taking cube root of both sides of the equation,
L = cube root of 125/729
L = 5/9
= 0.56 feet