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A cube with side length 1.53m of solid Styrofoam is completely submerged in fresh water such that the top of the Styrofoam block i parallel to the water surface and is 2.55m beneath the surface. The density of Styrofoam varies but you have determined that this block has a density of 105kg/m^3 and also know the density of fresh water is 1000kg/m^3

a) what is the buoyant force acting upon the Styrofoam block?

b) what is the total pressure on the top of the block due to water pressure?

c) what is the total pressure on the bottom of the block due to water pressure?

d) what is the total force acting on the top of the block (due to water pressure)?

e) what is the total force acting on the bottom of the block (due to water pressure)?

f) what is the total force acting on the block due to water pressure only?

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