Question

What is the volume of the following triangular pyramid?

Answer 1

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