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10 August, 17:40

tabia stores her hair bands in a cube shaped container. the cube has a volume of 64 cubic inches. What is the lenght of the edges of the cube?

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  1. 10 August, 20:09
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    The length of the edge of the cube = 4 inches

    Step-by-step explanation:

    * Lets describe the cube

    - It has 6 faces all of them are squares

    - It has 8 vertices

    - It has 12 equal edges

    ∵ The volume of any formal solid = area of the base * height

    ∵ The base of the cube is a square

    ∴ Area base = L * L = L² ⇒ L is the length of the edge of it

    ∵ All edges are equal in length

    ∴ Its height = L

    ∴ The volume of the cube = L² * L = L³

    * Now we have the volume and we want to find the

    length of the edges

    ∵ Its volume = 64 inches³

    ∴ 64 = L³

    * Take cube root to the both sides

    ∴ ∛64 = ∛ (L³)

    ∴ L = 4 inches

    * The length of the edge of the cube = 4 inches
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