A wooden packaging box of dimension 30 cm by 50 cm by 85 cm has a mass of 70 ke.

Determine the:

(1) maximum pressure;

(ii) minimum pressure it can exert on a horizontal surface. (5 marks)craft1 electrical June/July 2020

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i. To find the maximum pressure, we can assume that the weight of the box is evenly distributed across the entire bottom surface of the box. In that case, the pressure on the bottom surface would be equal to the weight of the box divided by the area of the bottom surface. The area of the bottom surface is 30 cm * 50 cm = 1500 sq cm, so the maximum pressure would be 70,000 g / 1500 sq cm = 46.67 g/sq cm.

ii. To find the minimum pressure, we can assume that all of the weight of the box is concentrated in a single point at the bottom center of the box. In that case, the pressure on the bottom surface would be equal to the weight of the box divided by the area of a small circle with a radius equal to the distance from the center of the box to any of the corners. The distance from the center of the box to a corner is (85 cm / 2) * sqrt(2) = 59.5 cm, so the radius of the circle would be 59.5 cm / 2 = 29.75 cm. The area of this circle is 29.75 cm * 29.75 cm * pi = 2744.63 sq cm, so the minimum pressure would be 70,000 g / 2744.63 sq cm = 25.47 g/sq cm.