Calculate the volume of the regular triangular pyramid

with the base edges of length 17 feet and a height of

length 5 feet. (Hint: Remember that the base of a

regular triangular pyramid must be an equilateral triangle, not

necessarily congruent to the sides of the pyramid.)

Respuesta :

Answer:

70.83 ft³

Step-by-step explanation:

The volume of a pyramid is:

[tex]\frac{bh}{3}[/tex], where b is the base area and h is the height.

Let's first find the area of the base.

[tex]17\cdot5=85\\85\div2=42.5[/tex]

Multiplying this by 5:

[tex]42.5\cdot5=212.5[/tex]

Dividing by 3:

[tex]212.5\div3=70.83[/tex].

Hope this helped!