Chapter 6.1, Problem 15PSC

To determine

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

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:

  

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 $ABC,ABP,BCP,CDP,DAP,ACPandBDP.$