Question

The base of a right prism is a trapezium. The lengths of the parallel sides are 8 cm and 14 cm and the distance between the parallel sides is 8 cm. If the volume of the prism is 1056 cm³, then what is the height of the prism ?

Answer 1

Volume of the prism = Area of the base × height 

⇒ 1056 = \(\frac12(8+14)\times8\times{h}\) ⇒ h = \(\frac{1056\times2}{22\times8}\) = 12 cm.