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15 June, 01:11

What whole number dimensions would allow the students to maximize the volume while keeping the surface area at most 160 square feet

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  1. 15 June, 03:54
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    The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft

    Step-by-step explanation:

    Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²

    For maximum volume, the side length, s of the cube must all be equal;

    Therefore area of one side = s²

    Number of sides in a cube with top open = 5 sides

    Area of surface = 5 * s² = 180

    Therefore s² = 180/5 = 36

    s² = 36

    s = √36 = 6 ft

    Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
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