What is a Prism? (a). Two 2 – dimensional shapes joined together to form any enclosed multi – dimensional shape. (b). Two 2 – dimensional shapes joined together to form an enclosed 3 – dimensional shape. (c). Two pentagonal shapes joined together to form an enclosed 3 – dimensional shape. (d). Two circular shapes joined together to form an enclosed 3 – dimensional shape.
ANSWER
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- Hint:- Let us first know about 2 – Dimensional shapes and 3 – Dimensional shapes. TWO – DIMENSIONAL SHAPES: A two-dimensional shape (2 – D shape) has only two measurements, that are length and breadth. For example: A square, triangle, circle, rectangle, etc are all examples of 2 – D shapes. THREE – DIMENSIONAL SHAPES: A three – dimensional shape (3 – D shape) has only three measurements, that are length, width, as well as height. For example: A cube, cone, sphere, cuboid, etc. are all examples of 3 – D shapes.
Complete step-by-step solution -
Let us now learn about prism. PRISM: A prism is a polyhedron, which has two parallel faces that are called the bases. The faces other than the bases are always parallelograms. A prism is named by the shape of its base. It is a 3 – dimensional shape having flat faces, identical ends and same cross section. Let us now consider all the option:- (a). Two 2 – dimensional shapes joined together to form any enclosed multi – dimensional shape. A prism is a polyhedron, with two parallel faces called bases. The other faces are always parallelograms. It is a 3-dimensional shape having flat faces, identical ends and same cross section. So, option (a) is incorrect. (b). Two 2 – dimensional shapes joined together to form an enclosed 3 – dimensional shape. If we join any 2-dimensional shapes, it does not imply that the shape created is a prism. Therefore, option (b) is also incorrect. (c). Two pentagonal shapes joined together to form an enclosed 3 – dimensional shape. When we join two pentagonal shapes, we get a prism. Hence, option (c) is the correct one. (d). Two circular shapes joined together to form an enclosed 3 – dimensional shape. Circular shapes do not have flat faces in 3-dimensional planes. So, option (d) is incorrect. Therefore, the correct option for this question is (c) Two pentagonal shapes joined together to form an enclosed 3 – dimensional shape.
Note:- Let us now know about the Triangular Prism. TRIANGULAR PRISM: A triangular prism is a prism that is composed of two triangular bases and three rectangular sides.