which three - dimensional figure has nine edges?\nrectangular prism\nrectangular pyramid\ntriangular…
which three - dimensional figure has nine edges?\nrectangular prism\nrectangular pyramid\ntriangular prism\ntriangular pyramid
Answer
Explanation:
Step1: Recall the number of edges for each shape
- A rectangular prism has (12) edges. The formula for the number of edges (E) of a rectangular prism (a cuboid) with length (l), width (w), and height (h) is (E = 4(l + w+h)) (counting 4 edges for each of the three dimensions: length, width, height).
- A rectangular pyramid has (8) edges. There are (4) edges along the base (a rectangle) and (4) edges from the base vertices to the apex.
- A triangular prism has (9) edges. A triangular prism has (2) triangular bases. Each triangle has (3) edges, and there are (3) lateral edges connecting the corresponding vertices of the two triangular bases. So, (E=3 + 3+3=9).
- A triangular pyramid has (6) edges. There are (3) edges along the base (a triangle) and (3) edges from the base vertices to the apex.
Answer:
triangular prism