3. An open vat holding oil (s=0.80) is 8m long and 4m deep and has a trapezoidal cross -section 3m wide at the bottom and 5m wide at the top. Determine the following: (a) the weight of the oil, (b) the force on the bottom of the vat and (c) the force on the trapezoidal end panel.

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.