Using the volume for rectangular prisms, the volume of the chimney is: 216 in.³.
<h3>What is the Volume of a Rectangular Prism?</h3>
The volume of a rectangular prism = (length)(width)(height).
<h3>How to Find the Volume of Composite Shapes?</h3>
The Chimney in Emily's house is a composite solid consisting of two rectangular prism. To find the volume, we have to decompose the figure into two rectangular prisms. Then solve for the volume of each before finding the total volume.
Volume of the bigger rectangular prism = (length)(width)(height) = (4)(4)(12)
Volume of the bigger rectangular prism = 192 in.³
Volume of the smaller rectangular prism = (length)(width)(height) = (4)(2)(3)
Volume of the smaller rectangular prism = 24 in.³
The volume of the chimney = volume of the two rectangular prism
The volume of the chimney = 192 + 24
The volume of the chimney = 216 in.³
Learn more about the volume of rectangular prism on:
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