Pls help :), I put the file, it has all the info and pics,

Assignment: Volume of a Pyramid Investigation

Complete the following steps to put together Jeremy’s puzzle and see what can be learned from it.

Part A
1. Cut out all the nets carefully. Fold along the inside lines and tape edges together to form 5 figures. Describe the figures formed. What shapes are they? Are any the same?

There is 4 tetrahedron and a pyramid

2. Jeremy’s puzzle will form a rectangular prism. Figure out how the pieces can all be put together to form a prism. Give the dimensions and volume of the prism.

3. What does the fact that the figures fit together to make the prism tell you about their combined volume?

4. Give the dimensions and volume of figure A.

5. Figures B and C can be put together to form a right rectangular pyramid by placing the two sides that have the height marked together. Give the dimensions and volume of the pyramid formed by combining B and C.

6. Figures D and E can be put together to form a right rectangular pyramid by placing the two sides that have the height marked together. Give the dimensions and volume of the pyramid formed by combining D and E.

7. What relationships do you notice about the volumes found in items 4, 5, and 6?

8. Write in symbols how the volume of one of the three right pyramids relates to the volume of the entire prism. Use y for the volume of the pyramid and r for the volume of the prism. Explain what the symbols mean in words. How does this relate to the volume formulas for prisms and pyramids?

9. What have you learned from Jeremy’s puzzle about the relationship between volume of a rectangular pyramid and volume of a rectangular prism?

Part B
10. The base of a triangular prism is a triangle with a base of 4 inches and a height of 3.5 inches. The height of the triangular prism is 3.3 inches. What is the volume of the triangular prism?

11. The base of a triangular pyramid is a triangle with a base of 4 inches and a height of 3.5 inches. The height of the triangular pyramid is 3.3 inches. What is the volume of the triangular pyramid?

12. What do the triangular pyramid and prism in items 10 and 11 have in common? How are their volumes related?

13. Write in symbols how the volume of the triangular pyramid relates to the volume of the triangular prism. Use y for the volume of the pyramid and r for the volume of the prism. Explain what the symbols mean in words.