Which one of the following groups have all 3-dimensional shapes ?
2023
Which one of the following groups have all 3-dimensional shapes ?
- A.
Cube, Cuboid, Semi-circle, Cone
- B.
Cube, Cuboid, Circle, Cone
- C.
Cube, Cuboid, Circle, Triangle
- 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.