# Solution Library

# Questions on Cube Filled with Fluid

**Question**

Given: A cube whose sides are length L. The cube is open at the top (exposed to an atmospheric pressure, P_{O}), but all of the side and bottom faces are solid material. The cube is completely filled with a fluid. There is no motion in the cube.

A: Prove that the force exerted on any side face is greater if the cube is filled with water than if the cube is filled with air.

B: If L = 3 feet and the temperature of the fluid is 70°F, calculate the pressure at the bottom of the cube for each fluid, in atmospheres of pressure. The density of water is 62.4 lb/ft^{3}. Gravity is 32.174 ft/S^{2}. The Universal Gas constant is: R = 0.7302 (atm-ft^{3})/(lbmole-°R)

C: If the cube is located on the International Space Station and an external pressure, P_{O} is applied to the open face of the cube (i.e. P_{O} ≠ 0), prove whether the proof in Part A is still valid.

**Summary**

The question belongs to Mechanical Engineering and the question is about a cube filled with fluid at an atmospheric pressure P_{O}. Questions such as, if the cube is filled with water what would be the force exerted. If the fluid is 70°F, the pressure exerted at the bottom of the cube and if the cube is located on International Space Station and an external pressure is applied, etc are answered in the solution in detailed calculations.

Note: The answers are in handwritten format

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