Question

What is the volume of the triangular prism?

Answer 1

Answer:

B) $115.5m^3$

Step-by-step 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:

$triangle=\frac{(base)(height)}{2} \\triangle=\frac{(7m)(3m)}{2}\\ triangle=\frac{21m}{2}\\ triangle=10.5m^2$

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)

Answer 2

Answer:

115.5 $m^{3}$

Step-by-step explanation:

V = 1/2a·c·h

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