123AB456C
  • 123AB456C
A square pyramid has a base area of 25 ft2. The pyramid’s total surface area is 105 ft2. What is the area of each triangular face? A. 20 ft2 B. 26 ft2 C. 40 ft2 D. 80 ft2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
how many faces does a square pyramid have?
123AB456C
  • 123AB456C
@jim_thompson5910 do you know the answer
jim_thompson5910
  • jim_thompson5910
here's what a square pyramid looks like http://towerbridgeproject10.wikispaces.com/file/view/square_pyramid.JPG/136947183/269x279/square_pyramid.JPG

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123AB456C
  • 123AB456C
it has 4 faces
jim_thompson5910
  • jim_thompson5910
5 faces actually 4 lateral faces (that are triangles) and one square face on the bottom
anonymous
  • anonymous
So first step is to subtract the area of the base from the total surface area because the rest of the faces are the same
anonymous
  • anonymous
Which is...?
jim_thompson5910
  • jim_thompson5910
B = area of base (square base) L = area of each triangle there is 1 base and 4 triangles total surface area = B + 4*L
123AB456C
  • 123AB456C
is the answer C
anonymous
  • anonymous
No it isn't try using the equation jim gave
jim_thompson5910
  • jim_thompson5910
total surface area = 105 area of base = B = 25 so, total surface area = B + 4*L 105 = 25 + 4*L solve for L
anonymous
  • anonymous
\[25x+zy=105\] x= number of square faces y=number of triangular faces
123AB456C
  • 123AB456C
can you tell me the answer and then explain it that way i wont get confused
anonymous
  • anonymous
Alright it's A
anonymous
  • anonymous
So there is a total of 105 square units 25 square units is the base And there are four identical triangular faces with unknown area
anonymous
  • anonymous
So try solving the equation I gave
123AB456C
  • 123AB456C
i did it makes SENSE KNOW thank you so much now i understand it !!!:):)
anonymous
  • anonymous
Youre welcome :D

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