Question

How do you find the surface area of a square pyramid with a slant height?

Answer 1

1/3 Multiply by Base Area into Height

Answer 2

\[=3\times \sqrt{3}/4\times(side)^2\]

Answer 3

I still don't understand.

Answer 4

all sides of a square base pyramid are equal and if we exclude the base area then my answer is what i had posted

Answer 5

I understand that all sides of a square base pyramid are equal, but how do you find the slant height? Do you find it the same way as just a regular height?

Answer 6

to make square pyramid join all the four vertex of square to a single point above the base and this will form 4 equilateral triangle with slant height as the side of triangle or the side of a square. there is a mistake in my formula which was given , u should replace 3 by 4

Answer 7

I hope u could understand by thid figure

Answer 8

Do you think you could draw a triangle and post it please? I really cannot understand just plain words. Here is what my problem looks like:

Answer 9

22 is the slant height and there is no height shown.

Answer 10

ok no problem just find the area of this triangle and multiply it by 4 bcoz all triangles are congruent
and the area of triangle is 1/2*base*height
=1/2*10*22
and multiply above answer by 4 and u wl get the answer

Answer 11

I am trying the math now. . .

Answer 12

surface area would be 440 cm^2

Answer 13

Hang on, I'm almost done. . .

Answer 14

Wait, how do you find the height if only the slant height is shown?

Answer 15

in finding the area of triangle we need the perpendicular height and it is 22cm as provided by u in the figure

Answer 16

yes the area of one triangle is 110 cm^2 but the pyramid form 4 such triangles so we multiply this area by 4 to get the surface area

Answer 17

So the surface area of the triangles will be 440?

Answer 18

Okay, so what do I do with this answer now?

Answer 19

yes

Answer 20

So now what do I do with the 440?

Answer 21

the surface area of pyramid is 440 cm^2

Answer 22

if we exclude the base area

Answer 23

if base area is include then the surface area of pyramid would be 540 cm^2

Answer 24

So, the area of the whole triangle is 540, am I correct?

Answer 25

540 is the area of all 4 triangles plus square base

Answer 26

On the back of my homework, it says this:
The question is:
The length of the base of a square pyramid is 5 centimeters. The slant height is 8 cenimeters. What is the surface area of the pyramid?