Mathematics
Grade9
Easy

Question

Find the total surface area of the following triangular pyramid. Each triangle is congruent, with a base of 7 ft., and a height of 6 ft.

  1. 168 ft squared
  2. 126 ft squared
  3. 84 ft squared
  4. 42 ft squared

hintHint:

The surface area of triangular Pyramid =  B space plus space 1 half space cross times space P l spacewhere 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: 84 ft squared


    Given the base is an equilateral triangle with side 7 ft and slant height from diagram is 6 ft
    and base is rectangle with base 7 ft and height 6 ft
    text  The perimeter of base = 3 x 7 = 21 ft end text
text The area of the base is =  end text 1 half cross times 7 cross times 6 equals 21 space f t 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 cross times space P l
S. A space equals space 21 space plus 1 half space left parenthesis 21 right parenthesis left parenthesis 6 right parenthesis
equals 84 ft squared

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