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 answer:

h =  9.1652 cm
S =  224 cm2

Step-by-step explanation:

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=2a w=28 10=40 cm2  S=S1+4 S2=64+4 40=224 cm2

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