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A square based pyramid with sides of 9 cm and slant height 12 cm has a lateral area of 216 cm. What is the volume ?
 Mar 25, 2012

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pyramid height:

0.12^2=sqrt(2*0.045^2)^2+h^2
0.12^2-sqrt(2*0.045^2)^2=h^2
h=sqrt(0.12^2-sqrt(2*0.045^2)^2)

volume of pyramid,
A= 1/3 * Area base * h

[input]1/3 * (4.5cm*4.5cm) * sqrt( (12cm)^2-sqrt(2*(4.5cm)^2)^2) in cm^3[/input]
 Mar 26, 2012

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