# What is a pentagonal pyramid

**Special pyramids optional subtasks 2003-2013 secondary school leaving certificate **

Document with 7 tasks |

### Task W2b / 2003

Source RS conclusion BW 2003### Task W3a / 2005

The following are known of a regular nine-sided pyramid: | ||

M = 300 cm^{2} | (Outer surface) | |

a = 6.4 cm | (Base edge) | |

Calculate the volume of the pyramid. | ||

Solution: V = 473 cm^{3} |

### Task W3a / 2007

A regular pentagon has the length of the side a = 3.6 cm.If you lengthen all the pentagonal sides, the network of a regular pyramid is created. Calculate the surface area and the volume of the pyramid.
| |

### Task W2a / 2009

From a regular five-sided pyramid are given: | ||

M = 126 cm (Outer surface)^{2} | ||

H (Height of the side surface)_{S.}= 8.4 cm | ||

Calculate the area of the triangle AFS. | ||

a | ||

a | ||

a | ||

Solution: A._{AFS}= 33.8 cm^{2} | ||

### Task W2b / 2010

Source RS conclusion BW 2010### Task W2a / 2011

From a massive regular five-sided pyramid are known: | ||

V = 329 cm^{3} (Volume of the pyramid) | ||

a = 7.0 cm | ||

Part of the pyramid is cut out (see sketch). Calculate the surface of the resulting body. | ||

a | ||

a | ||

a | ||

Solution: O_{New}= 314.6 cm^{2} | ||

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