To find: the lateral and surface area
Answer to Problem 5PPS
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 lateral area of the square pyramid.
The side of the square is 10 in.
The perimeter P of the square is P = 4(side)
Substitute side= 10 in the perimeter formula to find the perimeter of the square.
Thus,
The slant height of the square pyramid is 12 in.
Substitute P = 40 and l = 12 in
Therefore, the lateral area of the square pyramid is
Find the surface area of the square pyramid as shown below:
The area B of the square pyramid is,
Substitute B= 100 and L= 240 in the surface area formula to find the surface area of the square pyramid.
Conclusion:
Therefore, the surface area of the square pyramid is
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