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QA - Cube (A Detailed Concept)

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QA - Cube (A Detailed Concept)

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Updated : Tuesday, 12 April, 2016 06:05 PM

This year also in CAT 2016, QA (Quantitative Ability) will be a separate section which will comprise of 34 questions with a stipulated time of 60 minutes. On behalf of 19 IIMs the test is scheduled to be conducted in November, 2016

If there is something that can upset the strong will and confidence of even the most serious CAT aspirants it would definitely be the Quantitative Ability (QA).

Please read study material on CUBE with 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 any edge of the cube.

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