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:

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value