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3 years ago

What is the volume of the following triangular pyramid?

Mathematics

1 answer:

Readme [11.4K]3 years ago

3 0

Answer:

The volume of the triangular pyramid

V = 566.66 in³

Step-by-step explanation:

Step(i):-

The volume of the triangular pyramid

$= \frac{1}{3} X base area X height$

Base area = Area of the triangle

$A= \frac{1}{2} X base X height$

Given the base of the triangle (b) = 17in

Given Height of the triangle (h ) =10 in

$A= \frac{1}{2}( 17 ) (10) = 85$

The base area of the pyramid ( A) = 85 in²

Step(ii):-

Given the height of the pyramid (h) = 20in

The volume of the triangular pyramid

$= \frac{1}{3} X base area X height$

The volume of the triangular pyramid

= $= \frac{1}{3}( 85)(20) = 566.66$

Final answer:-

The volume of the triangular pyramid

V = 566.66 in³

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