To find: the surface area of the glass on the Luxor.
Answer to Problem 4CYU
The surface area of the square pyramid is
Explanation of Solution
Given:
Formula used:
The lateral area L of a square pyramid is
The surface area S of a square pyramid is S = L + B
Calculation:
The given figure is a square pyramid.
The objective is to find the lateral and surface area of the square pyramid.
Find the slant of the square pyramid.
Use Pythagorean theorem to find the slant height.
The side of the square is 646 ft.
The perimeter P of the square is P = 4(side).
Substitute side = 646 in the perimeter formula to find the perimeter of the square.
Thus,
The slant height of the square pyramid is 2584 ft.
Substitute P = 2584 and
Thus,
Therefore, the lateral area of the square pyramid is
Find the surface area of the square pyramid.
The area B of the square pyramid is
Substitute B = 417316 and L = 615340.84 in S = L + B
Therefore, the surface area of the square pyramid is approximately
Conclusion:
Therefore, the surface area of the square pyramid is
Chapter 12 Solutions
Pre-Algebra, Student Edition
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