Question

Find the volume of the triangular pyramid to the nearest whole number. A) 256 units3 B) 384 units3 C) 768 units3 D) 1,152 units3

Answer 1

256 units3

Volume of the triangular pyramid = 13Bh

B = area of the triangle base, and h = height of the pyramid

V = 13Bh = 13(48)(16) = 256

Answer 2

A.
`256\text{ units}^3`

Explanation:

We have been given an image of a triangular pyramid and we are asked to find the volume of our given pyramid.

We will use volume of triangular pyramid formula to solve our given problem.

`\text{Volume of triangular prism}=(1)/(3)*A*h`, where,

A = Area of triangular base,

h = Height of the pyramid.

`\text{Area of the base of pyramid}=(1)/(2)*12*8`

`\text{Area of the base of pyramid}=6*8`

`\text{Area of the base of pyramid}=48`

Upon substituting our given values in volume formula we will get,

`\text{Volume of triangular prism}=(1)/(3)*48*16`

`\text{Volume of triangular prism}=16*16`

`\text{Volume of triangular prism}=256`

Therefore, the volume of our given triangular pyramid is 256 cubic units and option A is the correct choice.