Question 128

The base of a right prism is a trapezium whose length of two parallel sides are 10 cm and 6 cm and distance between them is 5cm. If the height of the prism is 8 cm, its volume is:

Solution

Length of the parallel sides of trapezium  are

a = 10 cm and b = 6 cm

Distance between the parallel sides of trapezium h = 8 cm

Area of the trapezium = $$\frac{1}{2}\left(a+b\right)h=\frac{1}{2}\left(10+6\right)5=40\ cm^2$$

Height of the right prism with base as trapezium = 8 cm

$$\therefore\ $$Volume of the right prism with base as trapezium = Area of trapezium x height of the right prism = 40 x 8 = 320 $$cm^3$$

Hence, the correct answer is Option D


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