Example Question #1 : Geometry
What is the area of the right triangle in the following figure?
In order to solve this problem, we need to recall the formula for area of a right triangle:
Now we can substitute in our side lengths from the question:.
Example Question #2 : Geometry
What is the volume of the rectangular prism in the following figure?
The formula used to find volume of a rectangular prism is as follows:
Substitute our side lengths:
Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.
Example Question #3 : Geometry
Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is in length and occupies an area of . How wide is this particular site?
In order to solve this question, we need to first recall how to find the area of a rectangle.
Substitute in the given values in the equation and solve for .
Divide both sides by
Dividing by a fraction is the same as multiplying by its inverse or reciprocal.
Find the reciprocal of
Simplify and rewrite.
Multiply and solve.
The width of the fracking site is