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Stacking Cups

This guide provides a detailed method for calculating the dimensions of a box to hold stacked cups. Using Kade Quinn's large and small hot beverage cups as examples, it explains how to determine the volume of a stack of 50 cups for both sizes. For the large cup with a diameter of 4.5 inches, the estimated box dimensions would be 130 inches high and 9.3 inches wide and deep. For the small cup with a diameter of 4 inches, the box would measure 82.9 cm high and 8 cm in both width and depth, ensuring proper storage.

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Stacking Cups

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  1. Stacking Cups • By Kade Quinn

  2. Large hot beverage cup • I am trying to find the dimensions of a box that would hold a stack of fifty of these cups • First, you have to measure the the diameter, 4.5 • Then you square it, to get 20.25 • Then you multiply 20.25 by 3.14 to get 63.585 • Then, you estimate how high a stack of 50 cups would be, about 120.5 in. • The volume of a stack of cups 50 cups high would be 7661.99 • The dimensions of the box would be 130 inches high, 9.3x9.3 for the width and depth

  3. Small hot beverage cup • First, you have to get the diameter, 4 • Then, you have to square it, 16 • Then multiply 16 by pi, 50.24 • Then estimate how high a stack of this kind of cups would be, 82.7 cm • Then multiply 82.7 by 50.24, to get 4154.848, and that is the volume. • The dimensions would be 82.9 cm high, and 8cm for the width and depth

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