To find: the scale factor.
Total scale factor is
Given:
The total surface areaincreased by some scale factor is
Formulas used:
The lateral area
The surface area
Calculation:
The objective is to find the scale factor.
Let
The lateral area
Where
The surface area
Where
First find the lateral area of the rectangular prism.
The perimeter
Where
Put
Thus
Next find the surface area of the mew rectangular prism formed by multiplying the original dimension by
First find the area
Where
Put
Since the surface area of the new rectangular prism is
Here
Thus, the value of
Therefore, the scale factor is
Chapter 12 Solutions
Pre-Algebra Student Edition
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