Which one of the following groups have all 3-dimensional shapes ?

2023

Which one of the following groups have all 3-dimensional shapes ?

  1. A.

    Cube, Cuboid, Semi-circle, Cone

  2. B.

    Cube, Cuboid, Circle, Cone

  3. C.

    Cube, Cuboid, Circle, Triangle

  4. D.

    Cube, Cuboid, Sphere, Cylinder

Show answer & explanation

Correct answer: D

Concept: A two-dimensional (2D) shape is a flat, plane figure that has only length and breadth (for example, a circle, a triangle, or a semi-circle) — it has no thickness or depth and simply encloses an area. A three-dimensional (3D) or solid shape has length, breadth, AND height/depth, so it occupies space and has volume — for example, a cube, a cuboid, a sphere, a cylinder, or a cone.

Application: The group "Cube, Cuboid, Sphere, Cylinder" contains only solids — every member of this group has volume and occupies space in three dimensions, so this is the group made up entirely of 3-dimensional shapes.

Contrast — why the other groups fail:

  • "Cube, Cuboid, Semi-circle, Cone" — a semi-circle is a flat, plane figure (half of a circle's enclosed region) with no depth, so this group is not purely 3-dimensional.

  • "Cube, Cuboid, Circle, Cone" — a circle is a flat, plane figure with no depth, so this group is not purely 3-dimensional.

  • "Cube, Cuboid, Circle, Triangle" — both the circle and the triangle are flat, plane figures with no depth, so this group is not purely 3-dimensional.

Cross-check: Checking each shape in the correct group individually — a cube (six square faces), a cuboid (six rectangular faces), a sphere (a fully round solid), and a cylinder (two circular faces joined by a curved surface) — each one has length, breadth, and height/depth, confirming the group is entirely made up of 3-dimensional shapes.

Explore the full course: Uptet Paper 1

Loading lesson…