give three examples of square pyramid
Answers
Answer:
Example 1: Find the volume of a regular square pyramid with base sides 10 cm and altitude 18 cm.
Solution:
The formula for the volume of a pyramid is given by:
V = ⅓ B h
As the base of the pyramid is a square, the base area is 102 or 100 cm2.
So, put 100 for B and 18 for h in the formula.
V=13×100×18=600
Therefore, the volume of the given square pyramid is 600 cm3.
Example 2: Find the lateral surface area of a regular pyramid which has a triangular base and each edge of the base is equal to 8 cms and the slant height is 5 cms.
Solution:
The perimeter of the base is the sum of the sides.
Perimeter = 3 × 8 = 24 cms
L.S.A.=12 × 24 × 5 = 60 cms2
Example 3: Find the total surface area of a regular pyramid having a square base where the length of each edge of the base is equal to 16 cms, the slant height of a side is 17 cms and the altitude is 15 cms.
Solution:
The perimeter of the base is 4s because it is a square.
P = 4 × 16 = 64 cms
The area of the square base = s2
Base area = 162 = 256 cms2
Therefore, total surface area of the pyramid,
T.S.A.=½ × 64 × 17 + 256 = 544 + 256 = 800 cms2
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