a.
To find: The face ABCD belongs to
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 4PSA
No, face ABCD is not a face of solid.
Explanation of Solution
Given information:
A solid comprising of a prism and regular pyramid.
Side AE = EF=FB=AB=CB=CG=FG=BF=HG=CD=DH =AD=EH= 10
Side PA=PB=PC=PD= 13
A solid comprises of a prism and regular pyramid. A face is said to be on solid if it on the surface of solid. It is evident from figure that face ABCD lies between a prism and pyramid. All other faces like PBC, PAB, PDA, PDC, ABFE, BFGC, DCGH, ADHE and FGHE lie on solid as they are on the surface of solid.
Thus, face ABCD is not a face of solid.
b.
To calculate: The number of faces of solid.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 4PSA
The number of faces of solid is
Explanation of Solution
Given information:
A solid comprising of a prism and regular pyramid.
Side AE = EF=FB=AB=CB=CG=FG=BF=HG=CD=DH =AD=EH= 10
Side PA=PB=PC=PD= 13
A solid comprises of a prism and regular pyramid. A face is said to be on solid if it on the surface of solid. It is evident from figure that face ABCD lies between a prism and pyramid. All other faces like PBC, PAB, PDA, PDC, ABFE, BFGC, DCGH, ADHE and FGHE lie on solid as they are on the surface of solid. Face ABCD is not a face of solid.
There are nine faces of solid.
c.
To calculate: The total area of solid.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 4PSA
The total area of solid is
Explanation of Solution
Given information:
A solid comprising of a prism and regular pyramid.
Side AE = EF=FB=AB=CB=CG=FG=BF=HG=CD=DH =AD=EH= 10
Side PA=PB=PC=PD= 13
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:
Area of base = Area of square
Lateral area of bottom= 4
Lateral area of bottom= 4
Lateral area of bottom= 400
Draw altitude perpendicular to base.
The altitude AK can be calculated by applying Pythagoras Theorem.
In right angle triangle AKB , we get
The altitude AK drawn perpendicular divides the triangle face into two right triangles of
Lateral area of regular pyramid = 4
Lateral area of regular pyramid
Lateral area of regular pyramid
Lateral area of regular pyramid
Total Area = Area of base + Lateral area of bottom prism + Lateral area of regular pyramid
Total Area
Total Area
Chapter 12 Solutions
Geometry For Enjoyment And Challenge
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Thinking Mathematically (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
Elementary Statistics (13th Edition)
University Calculus: Early Transcendentals (4th Edition)
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