Find the volume of a pyramid with a square base, where the perimeter of the base is 8.2\text{ cm}8.2 cm and the height of the pyramid is 13\text{ cm}13 cm. Round your answer to the nearest tenth of a cubic centimeter.

Step-by-step explanation:

The volume of the pyramid is given by:

where is the area of the base and is the height.

We know that the height is:

Thus we need to find the area of the square at the base.

The perimeter of the square is:

this means that the length of the sides of the square is :

Now we can find the area of the base which the area of the square:

and finally we find the volume:

Which rounded to the nearest tenth of a cubic centimeter is:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.