Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
The base of a right prism is a trapezium whose lengths of two parallels sides are 10 cm and 6cm and distance between them is 5 cm. If the heights of the prism is 8cm, its volume is [SSC-CHSL (10+2) Exam, 2015]
(a)$320 \mathrm{cm}^{3}$
(b)$300 \mathrm{cm}^{3}$
(c)$310 \mathrm{cm}^{3}$
(d)$300.5 \mathrm{cm}^{3}$
Answer
Answer (as printed): A
Explanation
Length of parallel sides of prism = 10cm and 6cm Height of prism $=8 \mathrm{cm}$ $$\begin{aligned} \therefore \text { Volume of prism } & =\frac{1}{2}(10+6) \times 5 \times 8 \\ & =\frac{1}{2} \times 16 \times 5 \times 8=320 \mathrm{cm}^{3} \end{aligned}$$