Pyramid a+h

Calculate the volume and surface area of the pyramid on the edge and height a = 26 cm. h = 3 dm.

Correct result:

S =  2376.1694 cm2
V =  6760 cm3

Solution:

a=26 cm v=3⋅ 10=30 cm S1=a2=262=676 cm2 h2=v2+(a/2)2=302+(26/2)2=1069 cm≐32.6956 cm S2=a⋅ h2/2=26⋅ 32.6956/2=13 1069 cm2≐425.0424 cm2 S=S1+4⋅ S2=676+4⋅ 425.0424=2376.1694 cm2
V=S1⋅ v/3=676⋅ 30/3=6760 cm3

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