Question

The base of a right prism is a Trapezium whose lengths of two Parallel sides are $10cm$ and $6cm$ and distance between them is $5cm$. If the height of the prism is $8cm$, its volume is

• A. $320c{m}^3$
• B. $300.5c{m}^3$
• C. $310c{m}^3$
• D. $300c{m}^3$

Answer 1

Answer: (A)

$320c{m}^3$

Base area = Area of trapezium = $(L1+L2)\times D\times \frac{1}{2}$

L1 and L2 are lengths of parallel sides

D is the distance between them

Therefore, Volume of right prism = $\text{(base area)}\times \left(height\right)$

H is the height of right prism

Volume = $(L1+L2)\times D\times \frac{1}{2}\times H$

= 320 $c{m}^3$