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6 April, 13:54

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?

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  1. 6 April, 16:02
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    Answer: The length of each side of the building block is 0.56 feet

    Step-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 * 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
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