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21 September, 14:42

What is the volume of a cube whose surface area is 294

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  1. 21 September, 16:35
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    Answer: V = 343unit³

    Step-by-step explanation:

    This is a solid shape problems a three dimensional.

    Surface area of a cube = 6s² and the Volume = s³.

    Since the surface area is given to be 294, we now use this to calculate the s.

    Now,

    6s² = 294, now solve for s

    s² = 294/6

    = 49

    s² = 49

    Now, to find s, we recalled the laws of indices by taking the square root of both sides

    √s² = + / - √49

    s. = + / -7unit.

    Now to find the volume of the cube, where

    V = s³ and s = 7, therefore

    V = 7³

    = 343unit³
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