Known :
pedestal = square
side of square = 14 m
height of triangle = 18,2 m
Asked :
Volume = ...?
Answer :
Find the height of pyramid first (Phytagoras Theorem) :
h² = h of triangle² - ½ s of square²
h² = 18,2² - (½×14)²
h² = 331,24 - 7²
h² = 331,24 - 49
h² = 282,24
h = √282,24
h = 16,8 m
Now, lets find the volume :
V = ⅓ × pedestal area × height of pyramid
= ⅓ × (14 × 14) × 16,8
= ⅓ × 196 × 16,8
= ⅓ × 3.292,8
= 1.097,6 m³
So, the volume is 1.097,6 m³
Hope it helpful and useful :)
