a.
To calculate: The lateral area and total area of pyramid PABCD if each side of base has a length of 14 and altitude PQ is 24.
a.
Answer to Problem 8PSB
The lateral area is
Explanation of Solution
Given information:
Side AB=BC=CD=DA = 14,
Side PQ = 24.
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled
In right
Area of triangle:
b = base of triangle
h = height of triangle Area of square:
s = side of square
Calculation:
Side PR can be calculated by applying Pythagoras Theorem.
In right angle triangle PQR , we get
Area of triangle:
Lateral Area = 4
Lateral Area
Area of base ABCD
Total Area = Lateral Area + Area of base ABCD
Total Area
Total Area
b.
To find: The lateral area and total area of pyramid PABCD if each slant height is 17 and altitude PQ is 15.
b.
Answer to Problem 8PSB
The lateral area is
Explanation of Solution
Given information:
Side PA=PB=PC=PD = 17,
Side PQ = 15.
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
In right angle triangle,
Area of triangle:
b = base of triangle
h = height of triangle Area of square:
s = side of square
Calculation:
Side QS can be calculated by applying Pythagoras Theorem.
In right angle triangle PQS , we get
Area of triangle:
There are four triangles.
Lateral Area = 4
Lateral Area
Area of base ABCD
Total Area = Lateral Area + Area of base ABCD
Total Area
Total Area
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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