Question

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.)

Answer 1

70.83 ft³

Explanation:

The volume of a pyramid is:

`(bh)/(3)`, where b is the base area and h is the height.

Let's first find the area of the base.

`17\cdot5=85\\85/2=42.5`

Multiplying this by 5:

`42.5\cdot5=212.5`

Dividing by 3:

`212.5/3=70.83`.

Hope this helped!