Concept explainers
(a)
To find:The area of the base.
(a)
Answer to Problem 5PSA
The area of the base is 20.
Explanation of Solution
Given:
The vertices is given as,
The height is 7
Calculation:
The graph on the 3-D plane is given as,
Calculate the area of the base.
Thus, the area of the base is 20.
(b)
To find:The volume of the
(b)
Answer to Problem 5PSA
The volume of the solid is 140.
Explanation of Solution
Given:
The vertices is given as,
The height is 7
Calculation:
Calculate volume of the solid.
Thus, the volume of the solid is 140.
(c)
To find:The diagonal of the solid
(c)
Answer to Problem 5PSA
The diagonal of the solid is
Explanation of Solution
Given:
The vertices is given as,
The height is 7
Calculation:
Calculate diagonal of the solid.
Thus, the diagonal of the solid is
(d)
To check:Whether the (4,5,7) is the vertex of solid.
(d)
Answer to Problem 5PSA
Yes, the points (4,5,7) is the vertex of solid.
Explanation of Solution
Given:
The vertices is given as,
The height is 7
Calculation:
Consider the figure in part (a), and it is concluded that yes, (4,5,7) is the vertex of the solid.
Thus, Yes, the points (4,5,7) is the vertex of solid.
(e)
To find: The new coordinates of the vertex.
(e)
Answer to Problem 5PSA
The new coordinates of the vertex is (11,5,0) or (-3,5,0)
Explanation of Solution
Given:
The vertices is given as,
The height is 7
Calculation:
When the solid is rotating by 90, then the x coordinates is shifted by +-7 and z coordinates becomes zero, then it becomes (11,5,0) or (-3,5,0)
Thus, the new coordinates of the vertex is (11,5,0) or (-3,5,0)
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