To find: the lateral and surface area
Answer to Problem 7PPS
The surface area of the triangular pyramid is
Explanation of Solution
Given:
Consider the figure as shown below:
Formula used:
The lateral area L of a triangularpyramid is given by the formula
The surface area S of a triangularpyramid is given by the formula S = L + B
Calculation:
The objective is to find the lateral and surface area of the triangularpyramid.
First find the lateral area of the triangularpyramid.
The side of the
The perimeter P of the triangle is
The slant height of the square pyramid is 7.8 mm.
Put P = 27 and l = 7.8 in the lateral surface area to find the lateral surface area of the square pyramid.
Therefore, the lateral area of the triangular pyramid is
Next find the surface area of the square pyramid.
First find the area B of the triangular pyramid. The area B of the base is given by
Put B = 35.1 and L = 105.3 in the surface area formula to find the surface area of the triangular pyramid.
Conclusion:
Therefore, the surface area of the triangular pyramid is
Chapter 12 Solutions
Pre-Algebra Student Edition
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