In Geometry, an object having width, height and depth is referred to as a 3D solid object. A cube is a symmetrical object formed by six equal squares.
The six squares are called the faces of the cube. Each face has equal sides and all four of its interior angles are right angles. All the faces of a cube are congruent.
The line segment where two faces meet is known as an edge. A cube has 12 edges. All the edges are of the same length.
Vertex is the point at which three edges of the cube meet. A cube has 8 vertices.
An object with 6 rectangular faces and all its internal angles as right angles is known as a cuboid.
Volume of a cube
The volume of a cube is defined as the number of cubic units that will exactly fill the cube.
If s is the length of any edge of the cube, then the volume of the cube is given by the formula
Volume = s3
The volume is expressed in cubic units.
Question: Find the volume of a cube whose edge is 5 cms in length.
( Answer: Length of the side of the cube s = 5 cms
Volume of the cube = 5 * 5 * 5
= 125 cubic cms
Question: Find the volume of a cube whose edge is 10 cms in length.
( Answer: Length of the side of the cube s = 10 cms
Volume of the cube = 10 * 10 * 10
= 1000 cubic cms
Area of the cube
The surface area of a cube is calculated as the sum of the surface area of each of its six faces.
If s is the length of any edge of the cube, then the area of the cube is given by the formula
= 6 s2
The area of the cube is measured in sq cms.
Question: Find the surface area of a cube with edge is equal to 7 cms.
( Answer: Length of the edge of the cube s = 7 cms
Area of the cube = 6 * 7 * 7
= 294 sq cms
Question: Find the surface area of a cube whose volume is 1000 cubic cms .
( Answer: Volume of the cube = 1000 cubic cms
Length of the edge of the cube s = cube root of 1000 = 10 cms
Area of the cube = 6 * 10 * 10
= 600 sq cms
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