Identify the statement that is false for a prism (a) A right prism has...
Answer is 'c' because if triangle is their the sun react with rain and its goes to the prism and prism split to 7 colour
Identify the statement that is false for a prism (a) A right prism has...
False Statement for a Prism:
The false statement for a prism is: (c) A right prism has triangular lateral faces.
Explanation:
A prism is a three-dimensional geometric shape that has identical parallel bases and rectangular or parallelogram-shaped lateral faces. The lateral faces connect the corresponding vertices of the bases.
Properties of a Prism:
1. Bases: A prism has two identical parallel bases that are polygons. These bases can be any polygon shape, such as triangles, rectangles, or hexagons. The bases are congruent and lie on parallel planes.
2. Lateral Faces: The lateral faces of a prism are parallelograms or rectangles. They connect the corresponding vertices of the bases. The number of lateral faces depends on the number of sides of the base polygon.
3. Edges: The edges of a prism are the line segments formed by the intersection of the lateral faces. The number of edges is equal to the sum of the number of sides of the base polygon and the number of lateral faces.
4. Vertices: The vertices of a prism are the points where the edges intersect. The number of vertices is equal to the number of vertices of the base polygon.
Examples of Prisms:
1. Rectangular Prism: A rectangular prism has rectangular bases and rectangular lateral faces. It has 12 edges, 8 vertices, and 6 faces (2 bases and 4 lateral faces).
2. Triangular Prism: A triangular prism has triangular bases and three rectangular lateral faces. It has 9 edges, 6 vertices, and 5 faces (2 bases and 3 lateral faces).
3. Pentagonal Prism: A pentagonal prism has pentagonal bases and five rectangular lateral faces. It has 15 edges, 10 vertices, and 7 faces (2 bases and 5 lateral faces).
Conclusion:
In conclusion, the false statement for a prism is that a right prism has triangular lateral faces (c). A right prism has rectangular or parallelogram-shaped lateral faces, not triangular. The other statements about a right prism having rectangular lateral faces (a), two bases (b), and identical parallel faces (d) are true.
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