The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. A triangular pyramid is stacked on top of a triangular prism. They both share a triangular base. The triangle has a height of 10 and a base length of 22. The height of the triangular prism is 25. The height of the pyramid is 19.5. What is the volume of the composite figure? 715 units3 2,035 units3 2,750 units3 3,465 units3

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Answer:

the answer is 3465

Step-by-step explanation:

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The required volume of composite figure is 3465 cubic units. Option d is correct.

For composite figure made of triangular pyramid over triangular prism both as congruent base with dimension h = 10 and base =22.
Hight for both pyramid and prism is 19.5 and 25
Volume of composite figure is to be determine,  

What is composite figure?

When two or more solid put together to form new solid is said to be composite figure.

Here,
Volume of a pyramid = 1/3(1/2 base x height of triangle base)*h of
Volume of a pyramid = 1/3*22*10/2*19.5 = 715 cubic units

Similarly, for triangular prism
Volume of a triangular prism= 22*10/2x 25 = 2750 cubic units


Total volume =  volume of a triangular (pyramid +  prism)
Total volume = 715+2750
Total volume = 3465 cubic units.

Thus the required volume of composite figure is 3465 cubic units.

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