a.
To calculate:Thelength of a side
a.
Answer to Problem 5PSA
The length of a side
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Side
Formula used:
As base of pyramid is square, each side is equal
Calculation:
It is given that in a regular square pyramid,
Side
MIDA is a square. In a square, all sides are equal.
b.
To find: The length of side
b.
Answer to Problem 5PSA
The length of side
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Side
Formula used:
The sideYR is half of any of the sides of the square.
Calculation:
As PY is perpendicular to YR and it is perpendicular at mid-point of line YR , the length of YR will be half of any side of a square.
c.
To find: The length of side
c.
Answer to Problem 5PSA
The length of side
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Side
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled
In right
Calculation:
Side PR can be calculated by applying Pythagoras Theorem.
In right angle triangle PYR , we get
d.
To find: The perimeter of the base
d.
Answer to Problem 5PSA
Theperimeter of the base
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Side
Formula used:
Perimeter = Sum of all sides.
Calculation:
AMIDis a square.
e.
To calculate: The length of diagonal
e.
Answer to Problem 5PSA
The length of diagonal of
Explanation of Solution
Given information:
In a regular square pyramid,
Side
Side
Formula used:
The length of diagonal of a square is
Calculation:
AMIDis a square.
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning