ATAR Notes: Forum

VCE Stuff => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematics => Topic started by: HERculina on October 15, 2010, 10:58:53 pm

Title: Measurement q.
Post by: HERculina on October 15, 2010, 10:58:53 pm

Urgent q. :
Find the Volume and SA of
a hexagonal prism 31cm high, with hexagon sides being 12cm.
:)

Title: Re: Measurement q.
Post by: fred42 on October 16, 2010, 09:36:29 pm

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