rainbow_rocks03
  • rainbow_rocks03
What is the surface area of the square pyramid? A. 60 cm2 B. 132 cm2 C. 228 cm2 D. 288 cm2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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rainbow_rocks03
  • rainbow_rocks03
http://static.k12.com/calms_media/media/1394500_1395000/1394715/1/8c74d36a45a2eeba73f763b942f7f1c1b6fa4b47/67458_FGA_U5_L6_V2_P.jpg
rainbow_rocks03
  • rainbow_rocks03
@owllover101
mathstudent55
  • mathstudent55
The total surface area is the sum of the area of the base (a square) and the 4 sides (triangles).

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More answers

mathstudent55
  • mathstudent55
For the square, use the formula \(A_{square} = s^2\) For the sides use the formula \(A_{triangle} = \dfrac{bh}{2} \)
anonymous
  • anonymous
Surface area of any shape is given by Curved Surface area+Area of base. Here, Curved Surface area= (Perimeter of Base*Slant Height)/2=24*8/2=96 Area of base= Side*Side=6*6=36. Total surface area= 96+36=132
mathstudent55
  • mathstudent55
Since there are 4 triangular sides, remember to multiply the area of a side by 4 and add that to the area of the square base.
rainbow_rocks03
  • rainbow_rocks03
oh
rainbow_rocks03
  • rainbow_rocks03
so my answer is 132
mathstudent55
  • mathstudent55
\(A_{square} = (6~cm)^2 = 36~cm^2\) \(A_{triangle} = \dfrac{6~cm \times 8~cm}{2} = 24~cm^2\) Area of 4 sides = 24 cm^2 * 4 = 96 cm^2 Total surface area: 36 cm&^2 + 96 cm^2 = 132 cm^2 Yes, you are correct. Don't forget the units, cm^2

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