To find the volume of a pyramid, we can use the formula:
Volume = (1/3) × Base Area × Height
In this case, we know the height of the pyramid is 32 cm. First, we need to determine the area of the base. Since the pyramid has a square base, we can use the side length to calculate the area.
The base side length is given as 15 cm, so the area of the base is:
Base Area = side × side = 15 cm × 15 cm = 225 cm²
Now we can plug the values into the volume formula:
Volume = (1/3) × 225 cm² × 32 cm
Calculating this gives us:
Volume = (1/3) × 7200 cm³ = 2400 cm³
Therefore, the volume of the pyramid is 2400 cm³.