To find the number of planes formed by its vertices in a square pyramid.

Expert Solution & Answer

Answer to Problem 15PSC

There are 7 planes formed by its vertices in a square pyramid.

Explanation of Solution

Given information:

A square pyramid with vertices A, B, C, D and P.

Calculation:

Geometry For Enjoyment And Challenge, Chapter 6.1, Problem 15PSC

A plane is a flat, two dimensional surface that extends infinitely far. A square pyramid has 7 planes. It is evident from the figure that there are four side planes, one at below and two in between the square pyramid.

They are ABC,ABP,BCP,CDP,DAP,ACP and BDP.

Chapter 6.1, Problem 14PSB

Chapter 6.1, Problem 16PSC

Chapter 6 Solutions

Geometry For Enjoyment And Challenge

Ch. 6.1 - Prob. 1PSA Ch. 6.1 - Prob. 2PSA Ch. 6.1 - Prob. 3PSA Ch. 6.1 - Prob. 4PSA Ch. 6.1 - Prob. 5PSA Ch. 6.1 - Prob. 6PSA Ch. 6.1 - Prob. 7PSB Ch. 6.1 - Prob. 8PSB Ch. 6.1 - Prob. 9PSB Ch. 6.1 - Prob. 10PSB

Ch. 6.1 - Prob. 11PSB Ch. 6.1 - Prob. 12PSB Ch. 6.1 - Prob. 13PSB Ch. 6.1 - Prob. 14PSB Ch. 6.1 - Prob. 15PSC Ch. 6.1 - Prob. 16PSC Ch. 6.1 - Prob. 17PSC Ch. 6.1 - Prob. 18PSC Ch. 6.2 - Prob. 1PSA Ch. 6.2 - Prob. 2PSA Ch. 6.2 - Prob. 3PSA Ch. 6.2 - Prob. 4PSA Ch. 6.2 - Prob. 5PSA Ch. 6.2 - Prob. 6PSA Ch. 6.2 - Prob. 7PSB Ch. 6.2 - Prob. 8PSB Ch. 6.2 - Prob. 9PSB Ch. 6.2 - Prob. 10PSB Ch. 6.2 - Prob. 11PSB Ch. 6.2 - Prob. 12PSB Ch. 6.2 - Prob. 13PSB Ch. 6.2 - Prob. 14PSC Ch. 6.2 - Prob. 15PSC Ch. 6.2 - Prob. 16PSC Ch. 6.2 - Prob. 17PSC Ch. 6.2 - Prob. 18PSC Ch. 6.2 - Prob. 19PSC Ch. 6.3 - Prob. 1PSA Ch. 6.3 - Prob. 2PSA Ch. 6.3 - Prob. 3PSA Ch. 6.3 - Prob. 4PSA Ch. 6.3 - Prob. 5PSA Ch. 6.3 - Prob. 6PSB Ch. 6.3 - Prob. 7PSB Ch. 6.3 - Prob. 8PSB Ch. 6.3 - Prob. 9PSB Ch. 6.3 - Prob. 10PSC Ch. 6.3 - Prob. 11PSC Ch. 6 - Prob. 1RP Ch. 6 - Prob. 2RP Ch. 6 - Prob. 3RP Ch. 6 - Prob. 4RP Ch. 6 - Prob. 5RP Ch. 6 - Prob. 6RP Ch. 6 - Prob. 7RP Ch. 6 - Prob. 8RP Ch. 6 - Prob. 9RP Ch. 6 - Prob. 10RP Ch. 6 - Prob. 11RP Ch. 6 - Prob. 12RP Ch. 6 - Prob. 13RP Ch. 6 - Prob. 14RP Ch. 6 - Prob. 15RP Ch. 6 - Prob. 16RP Ch. 6 - Prob. 1CR Ch. 6 - Prob. 2CR Ch. 6 - Prob. 3CR Ch. 6 - Prob. 4CR Ch. 6 - Prob. 5CR Ch. 6 - Prob. 6CR Ch. 6 - Prob. 7CR Ch. 6 - Prob. 8CR Ch. 6 - Prob. 9CR Ch. 6 - Prob. 10CR Ch. 6 - Prob. 11CR Ch. 6 - Prob. 12CR Ch. 6 - Prob. 13CR Ch. 6 - Prob. 14CR Ch. 6 - Prob. 15CR Ch. 6 - Prob. 16CR Ch. 6 - Prob. 17CR Ch. 6 - Prob. 18CR Ch. 6 - Prob. 19CR Ch. 6 - Prob. 20CR

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