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Question Number 34361 by mondodotto@gmail.com last updated on 05/May/18

$$\mathbf{A}\mathbf{right}\mathbf{prism}\mathbf{has}\mathbf{a}\mathbf{regular}$$$$\mathbf{hexagonal}\mathbf{base}\mathbf{with}\mathbf{sides}\mathbf{of}$$$$\mathbf{length}15\mathbf{cm},\mathbf{and}\mathbf{a}\mathbf{height}$$$$\mathbf{of}20\mathbf{cm}.\mathbf{find}\mathbf{its}\mathbf{volume}\mathbf{and}$$$$\mathbf{total}\mathbf{surface}\mathbf{area}.$$

Answered by MJS last updated on 05/May/18

$$V=\frac{3\sqrt{3}}{2}{s}^{2}h=6750\sqrt{3}$$$$S=3\sqrt{3}{s}^2+6sh=1800+675\sqrt{3}$$

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