
To find: the surface area of the new pyramid.

Answer to Problem 5CYU
The surface area of the new pyramid is 450 square feet.
Explanation of Solution
Given:
A pyramid has a surface area of 50 square feet. The dimensions are tripled.
Calculation:
Since, the two pyramids are similar and a pair of solids is similar only if their corresponding measures are proportional.
Now, you know that the dimensions of the new pyramid are the triple of the original pyramid.
Hence, the scale factor of their side length is
If two solids are similar with a scale factor of
That is,
Let, the surface area of the new solid be S.
Now, substitute the known values in equation obtained above.
Cross multiply, to obtain
Conclusion:
Therefore, the surface area of the new pyramid is 450 square feet.
Chapter 12 Solutions
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