Question

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

Answer 1

how many faces does a square pyramid have?

Answer 2

@jim_thompson5910 do you know the answer

Answer 3

here's what a square pyramid looks like

http://towerbridgeproject10.wikispaces.com/file/view/square_pyramid.JPG/136947183/269x279/square_pyramid.JPG

Answer 4

it has 4 faces

Answer 5

5 faces actually

4 lateral faces (that are triangles) and one square face on the bottom

Answer 6

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

Answer 7

Which is...?

Answer 8

B = area of base (square base)
L = area of each triangle

there is 1 base and 4 triangles

total surface area = B + 4*L

Answer 9

is the answer C

Answer 10

No it isn't try using the equation jim gave

Answer 11

total surface area = 105
area of base = B = 25

so,

total surface area = B + 4*L
105 = 25 + 4*L

solve for L

Answer 12

\[25x+zy=105\]
x= number of square faces
y=number of triangular faces

Answer 13

can you tell me the answer and then explain it that way i wont get confused

Answer 14

Alright it's A

Answer 15

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

Answer 16

So try solving the equation I gave

Answer 17

i did it makes SENSE KNOW thank you so much now i understand it !!!:):)

Answer 18

Youre welcome :D