Calculating the Volume of the Pyramid
To find the volume of a pyramid, we can use the formula:
Volume (V) = (1/3) × Base Area (B) × Height (h)
Where:
- Base Area (B) is the area of the base of the pyramid.
- Height (h) is the perpendicular height from the base to the apex of the pyramid.
Step 1: Calculate the Base Area
Given that the base is square with a side length of 15 cm, we can calculate the base area (B) as follows:
B = side × side = 15 cm × 15 cm = 225 cm²
Step 2: Volume Calculation
Now we can plug the values into the volume formula:
V = (1/3) × B × h
V = (1/3) × 225 cm² × 32 cm
Calculating this gives:
V = (1/3) × 7200 cm³ = 2400 cm³
Conclusion
The volume of the pyramid with a height of 32 cm and a base length of 15 cm is 2400 cm³.