# 6th Grade Math : Geometry

## Example Questions

### Example Question #1 : Geometry

What is the area of the right triangle in the following figure?

Explanation:

In order to solve this problem, we need to recall the formula for area of a right triangle:

or

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?

Explanation:

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 #2 : 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?

Explanation:

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.

Reduce.

The width of the fracking site is