Math Is Fun Forum

colpat

Member

Registered: 2009-04-12

Posts: 1

Calculations in respect of a pyramid having a regular hexagon base

I am trying to complete a homework paper for GCSE maths - advanced level.  There is a question asking for calculations covering the following:

1.  The height from centre of base to apex.  The measurement of 2cm is given for sides of hexagon and 6cm for line from corner of hexagon to apex.  There is no other info.

2.  Calculate the angle at apex in respect of two shapes-namely 2 and 3 sectors of the 6 sided regular polygon.

I have researched both college textbooks and these particular elements covering pyramids are not covered.

Help would be much appreciated.

Pop

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Calculations in respect of a pyramid having a regular hexagon base

Use Pythagoras’ theorem. (Drawing a sketch can also help.)

Hint: Notice that the lines joining corners of the base to the centre of the base form equilateral triangles. Find the distance from each corner of the base to the centre of the base. Then apply Pythagoras.

The answer to #1

(No peeking until you’ve made some effort of your own first. )

Last edited by JaneFairfax (2009-04-12 23:35:02)