Question

4. The dimensions of a triangular pyramid are shown below. The height of

the pyramid is 6 inches. What is the volume in cubic inches?

Answer 1

5in³

Explanation:

The question is in complete. Here is the complete question.

"The dimensions of a triangular pyramid are shown below. The height of

the pyramid is 6 inches. What is the volume in cubic inches?

Base of triangle = 1in

height of triangle = 5in"

Given the dimension of the triangular base of base 1 inch and height 5inches with the height of the pyramid to be 6inches, the volume of the triangular pyramid is expressed as
`V = (1)/(3)BH` where;\

B = Base area

H = Height of the pyramid

Base area B = area of the triangular base =
`(1)/(2)bh`

b = base of the triangle

h = height of the triangle

B =
`(1)/(2) * 5 * 1\\`

`B = 2.5in^(2)`

Since H = 6inches

Volume of the triangular pyramid =
`(1)/(3) * 2.5 * 6\\`

`V = 2.5*2\\V =5in^(3)`