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September 2, 2014

September 2, 2014

Posted by **Joe** on Saturday, February 11, 2012 at 2:27am.

- Mathematics -
**Anonymous**, Saturday, February 11, 2012 at 4:31amsqrt ( 15 ^ 2 - 12 ^ 2 ) = sqrt ( 225 -144 ) = sqrt ( 81 ) = 9 cm

- Mathematics -
**Reiny**, Saturday, February 11, 2012 at 8:34amDraw one of the side triangles, and consider its altitude from the base of 12, call that x

x^2 + 6^2 = 15^2

x^2 = 19

x =√189

so the surface area = the base + 4triangles

= 144 + 4(1/2)(12)(√189) = ....

for the volume , we need the height of the pyramid,

call it h

h^2 + 6^2 = (√189)^2

h^2 = 153

h = √153

volume = (1/3)(base)(height)

= (1/3)(144)(√153

= 48√153

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