Given the values of the lengths, widths and heights of the rectangular prism and the rectangular pyramid, the volume of the composite figure is 1368cm³.
What is a rectangular prism and pyramid?
A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is the width, h is height and l is length
A rectangular pyramid is a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.
The volume of rectangular pyramid is expressed as;
V = (1/3) × l × w × h
Where l is the base length, w is the base width and h is the height of the pyramid.
Given the data in the question.
For the rectangular prism;
For the rectangular pyramid;
The volume of the composite figure will be;
V = volume of the rectangular prism + volume of the rectangular pyramid
V = ( w × h × l ) + ( (1/3) × l × w × h )
V = ( 24cm × 12cm × 3cm ) + ( (1/3) × 24cm × 3cm × 21cm )
V = 864cm³ + 504cm³
V = 1368cm³
Therefore, given the values of the lengths, widths and heights of the rectangular prism and the rectangular pyramid, the volume of the composite figure is 1368cm³.
Learn more about volume of pyramids here: brainly.com/question/21308574
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