# Volume of a 31-gon prism

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• Mar 30th 2011, 03:57 PM
Facundo
Volume of a 31-gon prism
A king wanted to build a tower to store all the water for him and his whole family and court.

The base of the tower is in the shape of a regular triacontakaihenagon, with each side measuring one metre on the exterior, and the tower rises vertically to a height of 31 metres, and it has a flat roof. The walls and roof are 30 centimetres thick.

How many litres of water are required to fill the entire tower?

Thanks a lot :). Anyone who can solve it will earn my never-ending thanks. Need it for Friday morning :(.
• Mar 30th 2011, 11:16 PM
CaptainBlack
Quote:

Originally Posted by Facundo
A king wanted to build a tower to store all the water for him and his whole family and court.

The base of the tower is in the shape of a regular triacontakaihenagon, with each side measuring one metre on the exterior, and the tower rises vertically to a height of 31 metres, and it has a flat roof. The walls and roof are 30 centimetres thick.

How many litres of water are required to fill the entire tower?

Thanks a lot :). Anyone who can solve it will earn my never-ending thanks. Need it for Friday morning :(.

That would be a 31-gon then?

CB
• Mar 30th 2011, 11:39 PM
mr fantastic
Quote:

Originally Posted by Facundo
A king wanted to build a tower to store all the water for him and his whole family and court.

The base of the tower is in the shape of a regular triacontakaihenagon, with each side measuring one metre on the exterior, and the tower rises vertically to a height of 31 metres, and it has a flat roof. The walls and roof are 30 centimetres thick.

How many litres of water are required to fill the entire tower?

Thanks a lot :). Anyone who can solve it will earn my never-ending thanks. Need it for Friday morning :(.

Why the deadline? If it's part of an assessment then it's meant to be your own work not the work of others.

Thread closed.