ABC26GN5063 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
A right pyramid is on a regular hexagonal base. Each side of the base is 10 m and the height is 60 m. The volume of the pyramid is
(a)$5000 \mathrm{m}^{3}$
(b)$5100 \mathrm{m}^{3}$
(c)$5195 \mathrm{m}^{3}$
(d)$5196 \mathrm{m}^{3}$
Answer
Explanation
Area of hexagonal base $=\left[\frac{3 \sqrt{3}}{2} \times(10)^{2}\right] \mathrm{m}^{2}=150 \sqrt{3} \mathrm{m}^{2}$. $$\begin{aligned} & \therefore \text { Volume of pyramid }=\left(\frac{1}{3} \times 150 \sqrt{3} \times 60\right) \mathrm{m}^{3}=3000 \sqrt{3} \mathrm{m}^{3} \\ & =(3000 \times 1.732) \mathrm{m}^{3}=5196 \mathrm{m}^{3} . \end{aligned}$$
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