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June 05, 2024, 11:20:13 am
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Author Topic: Measurement q.  (Read 613 times)  Share 

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HERculina

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Measurement q.
« on: October 15, 2010, 10:58:53 pm »
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Urgent q. :
Find the Volume and SA of
a hexagonal prism 31cm high, with hexagon sides being 12cm.
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fred42

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Re: Measurement q.
« Reply #1 on: October 16, 2010, 09:36:29 pm »
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TSA = 6(area of rectangles) + 2(area of hexagon)

Hexagon is made up of 6 equilateral triangles of side lengths 12 cm and, using Py6thagoras, height 6root (3) cm.

Therefore TSA = a2 X 31 X 6 + 2 X 6 X 1/2 X 12 X 6root (3)
                    = 2232 + 432root(3) cm2

Volume = area of base X length
           = 216 X root (3) X 31
           =6696 root(3) cm3
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