a.
To calculate: The lateral area and the total area of the pyramid ABCD
a.
Answer to Problem 10RP
The lateral area and the total area of the
Explanation of Solution
Given:
The measures of the given lengths are as follows:
AB = 13
AD = 10
Concept used:
Here, we are using the formula:
Lateral surface area of the pyramid =
(Where, “ b ” is base and “ h ” is height)
Total surface area of pyramid = Lateral surface area +
(Where, “ a ” is side)
Calculation:
Here, In
Using Pythagoras theorem
Lateral surface area of pyramid =
(Where, “ b ” is base and “ h ” is height)
→
→
Now, Total surface area of pyramid = Lateral surface area +
(Where, “ a ” is side)
→
→
Conclusion: Hence, the lateral area and the total area of the solid ABCD are
b.
To calculate: The lateral area and the total area of the cone PQRS
b.
Answer to Problem 10RP
The lateral area and the total area of the cone PQRS are
Explanation of Solution
Given:
The measures of the given lengths are as follows:
AD =
AC =
Concept used:
Here, we are using the formula:
Lateral surface area of the pyramid =
Total surface area of pyramid =
(Where, “ r ” is radius and “ l ” is slant height)
Calculation:
Here, Lateral surface area of the pyramid =
→
→
→
→
→
And, Volume of cylinder =
(Where, “ r ” is
→
→
→
Conclusion: Hence, the volume and the total area of the right cylinder are
Chapter 12 Solutions
Geometry For Enjoyment And Challenge
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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