Question

A triangular prism has a height of 11 meters and a base with the following measurements. All dimensions are in meters. What is the volume of the prism?
88 m3
28 m3
77 m3
44 m3

Answer 1

First we are going to find the area of the base, and then, we are going to multiply it by the height of the prism. 
To find the area of the base, we are going to use the formula for the area of triangle: $A= \frac{bh}{2}$
where 
$b$ is the base of the triangle 
$h$ is the height of the triangle 

We know form our problem that $b=4$ and $h=3.5$, so lets replace those values in our formula: 
$A= \frac{bh}{2}$
$A= \frac{(4)(3.5)}{2}$
$A=7$$m^2$

Now we just need to multiply that area by the height of our prism:
$V=(7)(11)$
$V=77$$m^3$

We can conclude that the volume of our prism is $77m^3$; therefore the correct answer is the third option: 77 m3