$\"\"$

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Find the fluid force on the top side.

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Fluid force is $\"\"$ , where $\"\"$ is fluid pressure and $\"\"$ is area of the object.

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The fluid pressure is $\"\"$ , where $\"\"$ is weight density of the liquid per unit of volume and $\"\"$ is depth of the object.

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The weight-density of water is $\"\"$ pounds per cubic foot, so $\"\"$ .

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The top side of the rectangle is submerged in $\"\"$ feet of water.

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$\"\"$ .

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The area of the rectangle is $\"\"$ square foot.

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The fluid force on top side is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find the fluid force on the bottom side.

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The top side of the rectangle is submerged in $\"\"$ feet of water.

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Fluid pressure is $\"\"$ .

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$\"\"$

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$\"\"$ .

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The area of the rectangle is $\"\"$ square foot.

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The fluid force on bottom side is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The buoyant force is the difference between the fluid forces on the top and botom

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sides of the solid.

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Substitute bottom side $\"\"$ and top side $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The buoyant force of the rectangular solid is $\"\"$ .