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Algebra & Trigonometry

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A slice of thickness 1 cm is cut off from one side of a cube. If the volume of the remaining figure is 180 cubic centimeter, how ling is the edge of the original cube

  • Algebra & Trigonometry -

    If the original cube had side s, then the volume was s^3.

    A 1-inch slab has volume s^2.

    So, we know that s^3 - s^2 = 180
    s^3 - s^2 - 180 = 0
    Inspection reveals that s=6 is one answer. So, now we have

    (s-6)(s^2 + 5s + 30)

    The quadratic has no real roots, so s=6 is the only answer.

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