× logo

The Free 30-Day CAT RC Course

"It is designed to help you excel in the upcoming CAT 2024 exam"

-By Lavleen Kaur Kapoor. Over 2,00,000+ Subscribers

read more

No thanks >

PGDM

CAT, XAT, GMAT

OPEN

PGDM

XAT, CAT, GMAT, CMAT

OPEN

MBA/PGPM

IBSAT, CAT, XAT, NMAT, GMAT

OPEN
Lavleen kaur kapoor

Get Personalized MBA Mentorship

Hope you enjoy reading this article.
Connect with my team on WhatsApp for unbiased MBA College Selection advice.


- Lavleen Kaur Kapoor
-->

Cube (Detailed Concept)

Calender Icon CAT Registration Ends: 13th September 2023

Cube (Detailed Concept)
 
Quantitative Ability – Cube (Detailed Concept)
 
Definition – 
 
A solid with six congruent square faces. A regular hexahedron.
 
A cube is a region of space formed by six identical square faces joined along their edges. Three edges join at each corner to form a vertex. The cube can also be called a regular hexahedron. It is one of the five regular polyhedrons, which are also sometimes referred to as the Platonic solids.
 
Parts of a cube – 
 
Face:
 
Also called facets or sides. A cube has six faces which are all squares, so each face has four equal sides and all four interior angles are right angles. 
 
Edge:
 
A line segment formed where two edges meet. A cube has 12 edges. Because all faces are squares and congruent to each other, all 12 edges are the same length.
 
Vertex:
 
A point formed where three edges meet. A cube has 8 vertices.
 
Face Diagonals:
 
Face diagonals are line segments linking the opposite corners of a face. Each face has two, for a total of 12 in the cube.
 
Space Diagonals:
 
Space diagonals are line segments linking the opposite corners of a cube, cutting through its interior. A cube has 4 space diagonals.
 
Volume enclosed by a cube:
 
Definition –
 
The number of cubic units that will exactly fill a cube
 
How to find the volume of a cube?
 
Recall that a cube has all edges the same length. The volume of a cube is found by multiplying the length of any edge by itself twice. So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64
 
Or as a formula; Volume = s3 where: S is the length of any edge of the cube.
 
Surface area of a cube:
 
Definition – 
 
The number of square units that will exactly cover the surface of a cube
 
How to find the surface area of a cube
 
Recall that a cube has all edges the same length. This means that each of the cube's six faces is a square. The total surface area is therefore six times the area of one face.
 
Or as a formula; Surface area = 6s2 where:S is the length of an edge of the cube.
 
Stay informed, Stay ahead and stay inspired with MBA Rendezvous