The base of a right prism is a trapezium. The length 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 the height of the prism is

Solution (By Examveda Team)

Area of trapezium
= $$\frac{1}{2}$$ × h(AB + CD)
= $$\frac{1}{2}$$ × 8 × (8 + 14)
= 4 × 22
= 88 cm²
Volume of prism = Height of prism × Area of base
⇒ height × 88 = 1056 (given)
⇒ height = $$\frac{{1056}}{{88}}$$
⇒ height = 12 cm