Ive finished the first three but im stuck
98 points
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.