Question

What is the volume of the triangular prism?

A) 57.75 m3
B) 115.5 m3
C) 231.0 m3
D) 462.0 m3

Answer 1

115.5
`m^(3)`

Explanation:

V = 1/2a·c·h

V = 1/2(3)(7)(11) = 115.5

Answer 2

B)
`115.5m^3`

Explanation:

to find the volume we need to find first the area of the triangle, and then multiply by 11 which is the length of the prism:

the measurements are:

`base=7m`

`height=3m`

`length=11m`

the area of the triangle in one side is:

`triangle=((base)(height))/(2) \\triangle=((7m)(3m))/(2)\\ triangle=(21m)/(2)\\ triangle=10.5m^2`

and now to find the volume of the prism we multiply the area of the triangle by the length of the prism:

`volume=(triangle)(height)\\volume=(10.5m^2)(11m)\\volume=115.5m^3`

which is option B)