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PAPER : IX
THEORETICAL BASIS OF
MATHEMATICS EDUCATION II
SUBMITTED BY,
SUBMITTED TO,
GEETHA . P
Lecturer in
mathematics
SQUARE PYRAMIDS
PROPERTIES OF A
SQUARE PYRAMIDS
1.Square pyramids is a pyramid with a square base
2.It also has four triangular sides five vertices and
eight edges
3.The top point of the pyramid is called an apex
4.If all triangular sides of the square pyramid are
equilateral
5.All the edges of the square pyramid will be equal
in length
LATERAL AREA OF SQUARE PYRAMIDS
Lateral area = 2al
a = base edge,
l = lateral height
PROBLEM
Find the lateral area of a square
pyramid whose base edge is 5cm and
lateral height is 7cm
Solution :
Lateral area = 2al
= 2 x 5 x 7
= 70 cm²
BASE AREA OF A
SQUARE PYRAMID
Base area = a²
a = base edge
PROBLEM
Find the base area of the square
pyramid whose base edge is 5cm
Solution :
Base area = a²
= 5²
= 25 cm²
TOTAL SURFACE AREA OF THE
SQUARE PYRAMID
Total surface area = 2al + a²
a = base edge , l = lateral height
PROBLEM
Find the total surface area of a
square pyramid whose base edge is
2cm and lateral height is 5cm
Solution :
Total surface area = 2al + a²
= 2 x 2 x 5 + 2²
= 24 cm²
 ppt 4 option

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ppt 4 option

  • 1.
  • 2.
  • 3. PAPER : IX THEORETICAL BASIS OF MATHEMATICS EDUCATION II
  • 5. SUBMITTED TO, GEETHA . P Lecturer in mathematics
  • 6.
  • 8. PROPERTIES OF A SQUARE PYRAMIDS 1.Square pyramids is a pyramid with a square base 2.It also has four triangular sides five vertices and eight edges 3.The top point of the pyramid is called an apex 4.If all triangular sides of the square pyramid are equilateral 5.All the edges of the square pyramid will be equal in length
  • 9. LATERAL AREA OF SQUARE PYRAMIDS Lateral area = 2al a = base edge, l = lateral height
  • 10. PROBLEM Find the lateral area of a square pyramid whose base edge is 5cm and lateral height is 7cm Solution : Lateral area = 2al = 2 x 5 x 7 = 70 cm²
  • 11. BASE AREA OF A SQUARE PYRAMID Base area = a² a = base edge
  • 12. PROBLEM Find the base area of the square pyramid whose base edge is 5cm Solution : Base area = a² = 5² = 25 cm²
  • 13. TOTAL SURFACE AREA OF THE SQUARE PYRAMID Total surface area = 2al + a² a = base edge , l = lateral height
  • 14. PROBLEM Find the total surface area of a square pyramid whose base edge is 2cm and lateral height is 5cm Solution : Total surface area = 2al + a² = 2 x 2 x 5 + 2² = 24 cm²