The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. What is the volume of the pyramid in cubic centimeters?

The volume of the square-based pyramid is

The volume of a pyramid is given by

where

The area of the square base, , is calculated as follows

substitute the value of , and () into the volume formula to calculate the pyramid's volume

Therefore, the volume of the pyramid is

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volume = 13500

Step-by-step explanation:

For a given pyramid, its volume can be determined by:

volume of pyramid =

Where: l is the base length, w is the base width and h id the height of the pyramid.

For the given question, l 30 cm, w = 30 cm and h = 45 cm.

So that,

volume =

            =

            = 13500

volume = 13500

The volume of the pyramid is 13500 .