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| Math Central | Quandaries & Queries |
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Question from Shohel: A tent has its base in the shape of a regular hexagon whose sides are 10m . If the height of the tent is 12m , then find its volume. |
Hi,
The volume you want to calculate is
\[\frac13 \times \mbox{ the area of the base } \times \mbox{ the height.}\]
You can fine a note on this theorem in the last paragraph of Bruce's response to an earlier question.
What remains then is to compute the area of a regular hexagon. I can show you two ways to achieve this.
- This page by Stephen shows a way to compute the area of any regular polygon.
- This page, also by Stephen shows a way to compute the area of a regular hexagon.
I hope this helps,
Penny
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