Question

Tyler finds a rock in the shape of a triangular pyramid. The dimensions of the rock are shown. A triangular pyramid. The base has a base of 8.5 inches and a height of 4 inches. The height of the pyramid is 12 inches. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the volume of the rock in cubic inches? V = one-third (8.5) (12) V = one-third (4) (12) V = one-third (34) (12) V = one-third (17) (12)

Answer 1

D on edge 2021

Explanation:

Answer 2

Volume of the rock=
`V=(1)/(3) (17)(12)`

Explanation:

Volume of triangular pyramid =
`(1)/(3) BH`

Where B is the area of base

H is the height of pyramid

Length if base of base triangle = 8.5 inches

Height of base = 4 inches

Area of base triangle =
`(1)/(2) * base * height = (1)/(2) * 8.5 * 4=17 inches^2`

Height of pyramid = 12 inches

Volume of triangular pyramid =
`(1)/(3) BH=(1)/(3) (17)(12)`

So, option D is true

Volume of the rock=
`V=(1)/(3) (17)(12)`