Find the volume of a regular square pyramid that is 8 m high and has the length of the side of the base as 9 m
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To find the volume of a regular square pyramid, you need to use the formula:
Volume = (1/3) * Base Area * Height
In this case, the pyramid has a height of 8 m and the length of the side of the base is 9 m. Since it is a regular square pyramid, the base is a square. The area of a square is found by multiplying the length of one side by itself:
Base Area = side length * side length
Let's calculate the volume step by step:
Step 1: Calculate the Base Area
Base Area = 9 m * 9 m
Base Area = 81 square meters
Step 2: Calculate the Volume
Volume = (1/3) * Base Area * Height
Volume = (1/3) * 81 square meters * 8 m
Volume = (1/3) * 648 cubic meters
Volume = 216 cubic meters
Therefore, the volume of the regular square pyramid is 216 cubic meters.