The base of a right prism is a trapezium The length of the parallel sides are 8 cm and 14 cm and the...........

Quantitative Aptitude (CGL) Mensuration 3D

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

44 cm

16.5 cm

12 cm

10.56 cm

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Explanation:

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