Pyramid

Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC.

Correct answer:

V =  10 cm3
S =  25.6047 cm2

Step-by-step explanation:

AB=3 cm BC=4 cm CG=5 cm  x=2BC=24=2 cm S1=CG x=5 2=10 cm2  V=31 S1 AB=31 10 3=10 cm3
S2=AB x=3 2=6 cm2 y=CG2+BC2=52+42=41 cm6.4031 cm  S3=y 2AB=6.4031 239.6047 cm2  S=S1+S2+S3=10+6+9.6047=25.6047 cm2



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