SOLUTION: can you please help me solve (((The bolumes of two similar pyramids are 27 and 64. If the smaller has lateral area of 18 find the lateral area of the larger. (Hint: Apply Theorem 1

Question 200999This question is from textbook geometry
: can you please help me solve (((The bolumes of two similar pyramids are 27 and 64. If the smaller has lateral area of 18 find the lateral area of the larger. (Hint: Apply Theorem 12-11.) ))) This question is from textbook geometry

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Remember that in similar figures, sides are proportion by Scale Factor.
.
Lengths and perimeter are proportional to SF^1
.
Areas to SF^2
.
and Volumes to SF^3
.
In this case ,,,SF^3 = 64 / 27 ,,,SF = 1 1/3
.
LA larger = (1 1/3)^2 * LA smaller
.
LA = (1 1/3)^2 * 18 = 32
.
Check,,,,SF^2 = 32/18 = 1.777,,,,SF =1 1/3,,,,ok
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