Find the volume to the triangular pyramid.

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 :)

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

equal to

step-by-step explanation: