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The composite figure is made up of two congruent rectangular pyramids joined at their bases. 2 congruent rectangular pyramids are connected at their bases. The height of the composite figure is 12. The lengths of the rectangular base are 7.5 and 2 units. The height of each pyramid is 6 units. What is the total volume of the composite figure? 30 units3 60 units3 120 units3 180 units3

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Jal3ong

Answer: 60 unit3

Step-by-step explanation:

The total volume of the composite figure, which is made up of two congruent rectangular pyramids joined at their bases, is 60 cubed units.

How to find the volume of the composite figures?

To find the volume of the composite figures,

  • Separate the figure.
  • Calculate the volume of each figure by which the composite figure is made of.
  • Add the volume of all the individual figures to get the total volume of composite figures

The composite figure is made up of two congruent rectangular pyramids joined at their bases. 2 congruent rectangular pyramids are connected at their bases.

  • The height of the composite figure is 12.
  • The lengths of the rectangular base are 7.5 and 2 units.
  • The height of each pyramid is 6 units.

The volume of a rectangular pyramid is the one third of the product of its length, width and height. Thus, the volume of one pyramid is,

[tex]V=\dfrac{7.5\times2\times6}{3}\\V=\dfrac{7.5\times2\times6}{3}\\V=30\rm\; unit^3[/tex]

The volume of one pyramid is 30 units³. Both the pyramid is same. Thus, the volume of both pyramid with made the composite figure is,

[tex]V=30\times2\\V=60\rm\; unit^3[/tex]

Thus, the total volume of the composite figure, which is made up of two congruent rectangular pyramids joined at their bases is 60 cubed units.

Learn more about the volume of composite figures here;

https://brainly.com/question/1205683

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