Quadrilateral pyramid

Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture.

Correct result:

h =  9.1652 cm
S =  224 cm2

Solution:

a=8 cm w=10 cm  w2=(a/2)2+h2  h=w2−(a/2)2=102−(8/2)2=2 21=9.1652 cm
S1=a2=82=64 cm2  S2=a⋅ w2=8⋅ 102=40 cm2  S=S1+4⋅ S2=64+4⋅ 40=224 cm2

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