A cubical box, 5.00 cm on each side, is immersed in a fluid. The gauge pressure at the top surface of the box is 594 Pa and the gauge pressure on the bottom surface is 1133 Pa. What is the density of the fluid? A) 1000 kg/m³ B) 1100 kg/m³ C) 1220 kg/m³ D) 2340 kg/m³ E) 12,000 kg/m³

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Quizplus · Accepted Answer

The difference in pressure between the top and bottom surfaces is due to the weight of the fluid column, which is 1133 Pa - 594 Pa = 539 Pa. Using the formula ΔP = ρgh, where h = 0.05 m, and g = 9.81 m/s², we solve for ρ: ρ = ΔP / (gh) = 539 / (9.81 * 0.05) = 1100 kg/m³.

A Cubical Box, 5