(a)
To find:The value of the base edge of the smaller pyramid.
(a)
Answer to Problem 5ST2
The value of the base edge of the smaller pyramid is
Explanation of Solution
Given information:
The height of smaller pyramidis
Calculation:
The ratio of the corresponding sides of any two similar geometric figures is termed as Scale factor.
Let the edge of the smaller pyramid be
Expression to determine the relation between edge and heights of the similar pyramid is:
Substitute
Therefore, the base edge of the smaller pyramid is
(b)
To find:The value of the total areas of the similar pyramid.
(b)
Answer to Problem 5ST2
The ratios of total areas of the similar pyramid is
Explanation of Solution
Given information:
The height of smaller pyramid is
Calculation:
The theorem of similar
Expression to determine the total area of two similar cones from the above theorem is:
Substitute
Therefore, the ratios of the total area of the similar pyramidsis
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