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5 January, 14:01

Beth is moving into a new house and purchased cardboard boxes for packing her things. Each cardboard box has a square base and a height that is 5 inches shorter than the side length of the base. If x represents the side length of the base, which of the following functions represents the surface area, S, of the cardboard box?

A. S (x) = 6x2 - 20x

B. S (x) = 6x2 + 20x

C. S (x) = 2x2 - 10x

D. S (x) = 2x2 + 10x

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Answers (1)
  1. 5 January, 15:23
    0
    A

    Step-by-step explanation:

    Does the box have a lid?

    Base Area = x * x = x^2

    One side = x (x - 5) and there are 4 such sides.

    4 sides = 4*x * (x-5) = 4x^2 - 20x

    Since there are no answers with just 5x^2 the answer is that the boxes must have a lid

    Lid + base = x^2 + x^x

    Lid + base = 2x^2

    Four sides = 4x^2 - 20x

    Total = 6x^2 - 20x

    Answer: A
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