a.
To describe: The faces of
a.
Answer to Problem 32PPS
The frustum is made of removing an upper pyramid of slant height 8.18 in. and base edge of 6 in from a bigger pyramid of slant height 23.73 in. and base edge of 17 in.The faces of solid are squares of edges 6 in. and 17 in.
Explanation of Solution
Given:
The ferret tent is shown in Figure-1 here.
Concept used:
The ratio of sides of two similar
Calculations:
A frustum can be visualized as the frustum of a pyramid, the complete pyramid is shown in Figure-2:
The edge of square base of the pyramid is 17 in. From Figure-2, clearly triangles ZAB and ZCD are similar triangles. Therefore,
Thus, the frustum is made of removing an upper pyramid of slant height 8.18in. and base edge of 6 in from a bigger pyramid of slant height 23.77 in. and base edge of 17 in.The faces of solid are squares of edges 6 in. and 17 in.
Conclusion:
Thefrustum is made of removing an upper pyramid of slant height 8.18 in. and base edge of 6 in from a bigger pyramid of slant height 23.18in. and base edge of 17 in.The faces of solid are squares of edges 6 in. and 17 in.
b.
To find: The lateral area and the surface area of the frustum.
b.
Answer to Problem 32PPS
The lateral area and surface area of frustum are 788.12 inch2 and 1113.13 inch2 respectively.
Explanation of Solution
Given:
The frustum in part (a)
Concept used:
The lateral area of a pyramid of perimeter of base P and slant height l is given by
Calculations:
The lateral area of the complete tent (pyramid) is
The surface area of frustum
Conclusion:
The lateral area and surface area of frustum are 788.12 inch2 and 1113.12 inch2 respectively.
c.
To find: The surface area of the frustum.
c.
Answer to Problem 32PPS
The surface area of frustum is 3128.25 inch2.
Explanation of Solution
Given:
The another tent is made by cutting the top off of a pyramid with a height of 12 cm slant height of 20 cm and square base of 32 cm.
Concept used:
The lateral area of a pyramid of perimeter of base P and slant height l is given by
Calculations:
As from the figure-2 part (b)
The lateral area of the complete tent (pyramid) is
The surface area of frustum
Conclusion:
The surface area of frustum is3128.25inch2.
Chapter 12 Solutions
Geometry, Student Edition
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A First Course in Probability
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
Elementary Algebra
Essentials of Statistics, Books a la Carte Edition (5th Edition)
- 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