To find: the lateral and total surface area.
Answer to Problem 19PPS
The lateral area is
Total surface area is
Explanation of Solution
Given:
Consider the figure shown as below:
Formulas used:
The lateral area
The surface area
Calculation:
The figure is a triangular pyramid.
The objective is to find the lateral and surface area of the triangular pyramid.
Find the lateral area of the triangular pyramid as follows:
Each side of the
The perimeter
Substitute
Thus,
The slant height of the triangular pyramid is
Substitute
Hence, the lateral area of the triangular pyramid is
Find the surface area of the triangular pyramid as follows:
The area
Here,
Substitute
Substitute
Hence, the surface area of the triangular pyramid is
Conclusion:
Therefore, the lateral area is
Chapter 12 Solutions
Pre-Algebra, Student Edition
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