A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . How long is each side of the building blocks?
Accepted Solution
A:
Answer: The length of each side of the building block is 0.56 feetStep-by-step 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 × HSince length = width = height,Volume of cube = L^3From the information given,Volume of a building block = 125/729ft cubedL^3 = 125 / 729Taking cube root of both sides of the equation,L = cube root of 125/729L = 5/9= 0.56 feet