Mathematics
Grade9
Easy

Question

A pyramid has a square base. Each side of the base is 9 cm. The slant height of each triangle is 14 cm. Calculate the surface area.

  1. 126 space cm squared
  2. 144 space cm squared
  3. 252 space cm squared
  4. 333 space cm squared

hintHint:

The surface area of Pyramid = B space plus space 1 half space cross times space P l space where p is the perimeter of the base , B is area of the base and l is the slant height of the pyramid.

The correct answer is: 333 space cm squared


    Given ,A pyramid has a square base. Each side of the base is 9 cm.
    The slant height of each triangle is 14 cm.
    text  The perimeter of base = 4 x 9 = 36 cm end text squared text  and slant height l = 14 cm end text
text The area of the base is  end text 9 squared equals 81 space c m squared
U s e space t h e space s u r f a c e space a r e a space f o r m u l a comma space
S u r f a c e space a r e a space equals space B space plus space 1 half space cross times space P l
S. A space equals space 81 space plus space 1 half space left parenthesis 36 right parenthesis left parenthesis 14 right parenthesis space equals space 81 space plus space 252 space equals space 333 space cm squared
    Therefore, surface area of given pyramid is 333 square centimeters.

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