### All 6th Grade Math Resources

## Example Questions

### Example Question #1 : Geometry

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

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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

Certified Tutor

Certified Tutor