Question

Which statement is false in the following statements?
(a) Rectangle is a 2-dimension shape.
(b) Pyramid is a 3-dimensional shape.
(c) Cone is a 2-dimension shape.
(d) Circle is a 2-dimension shape.

Answer 1

Hint: Here, we will first study about 2-dimension and 3-dimensional shapes, then we will check from each option and draw their figures to check which one of those statements is a false statement.
Here, in this question, we need to check all the options, to find the required answer asked in the question. First, let us study the 2-dimension shape and 3-dimensional shape.

Complete step-by-step solution
A two-dimensional shape has only two measurements, for example, the shape will have length or breadth; height or width, etc. A three-dimensional shape has only three measurements, for example, the shape will have length, breadth, and height or depth.
For option (a):
A rectangle is a 2-dimension shape is a true statement because a rectangle only has length and breadth.

For option (b):
A pyramid is a 3-dimensional shape that is a true statement because the base of the pyramid has two dimensions and the distance from the top of the pyramid perpendicular to the base of the pyramid or the height of the pyramid makes it three.

For option (c):
A cone is a 2-dimension shape is a false statement because a cone has three dimensions (height or the distance from the apex perpendicular to the base of the cone, radius of the base, slant height from the apex to the circumference of the base), and can be represented in the x-y-z plane.

For option (d):
A circle is a 2-dimension shape is a true statement, because it has a radius and the circumference which is a curved edge.

Hence, the option (c) is the false statement.

Note: Another way of discriminating between a 2-dimension shape and a 3-dimensional shape, is that the 2-dimension shape can be expressed in the plane where we have an x-axis and y-axis. A 3-dimensional shape can be expressed in the plane where we have three axes, x-axis, y-axis, and z-axis.