Find the volume of a pyramid with a square base, where the side length of the base is

15.3 m and the height of the pyramid is 19.6 m. Round your answer to the nearest

tenth of a cubic meter.

1529.4 m^3

Step-by-step explanation:

We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.

First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.

Next, we plug into the formula.

V = 1/3*19.6m*234.09m^2

And simplify:

V = 1/3 * 4,588.164m^3

V = 15.29.3879 ...

Last, round to the tenth

1529.4 m^3