# 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.

Result

V =  10 cm3
S =  25.605 cm2

#### Solution:

$V=1/3 \cdot \ (5 \cdot \ 4/2) \cdot \ 3=10 \ \text{cm}^3$
$S=5 \cdot \ 4/2+ 3 \cdot \ 4/2 + \sqrt{ 5^{ 2 }+4^{ 2 } } \cdot \ 3/2=25.605 \ \text{cm}^2$

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