The volume of the pyramid equals the one-third of the volume of the rectangular prism which is: 13 units³.
What is the Volume of a Rectangular Prism?
The volume of a rectangular prism is calculated as: V = (length)(width)(height).
How to Find the Volume of a Pyramid?
The volume of a pyramid is calculated as one-third of the product of its height, width, and length. Thus, the formula is given as: volume = 1/3(length)(width)(height)..
How do the Volumes of a Rectangular Prism and Pyramid with the Same Dimensions Relate?
If the height, width, and length of a pyramid are the same as the height, width, and length of a rectangular prism, then:
Volume of Pyramid = 1/3(volume of rectangular prism)
Volume of Pyramid = 1/3(length)(width)(height).
Given the following:
Dimensions of the pyramid and the rectangular prism are the same.
Volume of the rectangular prism = 39 units³.
Therefore, since the volume of pyramid = 1/3(volume of rectangular prism), we would have the following:
The volume of the pyramid = 1/3(39)
The volume of the pyramid = 13 units³
Therefore, the volume of the pyramid equals the one-third of the volume of the rectangular prism which is: 13 units³.
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