Find the volume of the trapezoidal prism in the exercise above where the base and top have the following measurements: side \(a=5 \mathrm{~cm}\), side \(b=12 \mathrm{~cm}\), the slant lengths are each \(12 \mathrm{~cm}\), and the height of the trapezoidal base \(=10 \mathrm{~cm}\). The height or length of the three-dimensional solid is \(24 \mathrm{~cm}\).