A trapezium based prism with two parallel sides 8 cm and 14 cm respectively and distance between two parallel sides is 8 cm. Find the height of the prism if the volume of the prism is 1056 cm⊃3; ?
Answer: D
Volume of the prism = 1056 cm⊃3;
WKT, Volume of prism = Base x Height
Base area = Area of trapezium
Area of trapezium = (1/2)(a + b)*h = (1/2)[8 + 14]*8
= (1/2)*22* 8 = 88 cm⊃2;
Volume of prism = (Area of trapezium) x Height
1056 = 88 * height
Height of prism = 12 cm.