Which of the following statements are true? (A) A hexagonal prism has two bases that are hexagons. (B) A hexagonal prism has six faces that are rectangles. (C) Hexagonal prisms that have bases with sides of equal length are called regular hexagonal prisms. (D) All of these statements are true.
Hint: The given question revolves around the description and properties of a hexagonal prism. So, in order to solve the problem, we must know about the shape of the hexagonal prism and its geometrical properties. We go through all the options one by one to obtain the correct answer of the given problem.
Complete step-by-step answer: In the given question, we are asked about the geometry of hexagonal prisms. So, we know that a hexagonal prism is a prism with hexagons as its base. This polyhedron has eight faces, eighteen edges and a total of twelve vertices. Hence, a hexagonal prism has two bases that are hexagons. So, option (A) is correct. Now, as we know, a hexagonal prism has a total of eight faces out of which two are hexagonal bases. So, the remaining six faces are rectangles. Hence, option (B) is also correct. Now, if the sides of the hexagonal bases are of equal length, then the hexagons are called regular hexagons and the prism with hexagonal bases with equal sides is called regular hexagonal prism. So, option (C) is also correct. Hence, all of the statements given in the option are correct. So, the right answer to the given question is option (D). So, the correct answer is “Option D”.
Note: We must know about the geometry and properties of various mathematical and geometrical shapes in order to solve such similar questions. Any figure or shape having all sides of equal lengths is called a regular figure or shape. We must analyze a figure on the basis of the number of faces, edges and vertices in order to solve such types of questions.