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  1. There are many uses of square and square roots. To calculate areas, volumes. To solve big math problems. To design new things. Application of squares and square roots by farmers in day to day life: 1. In the calculation of the area of their land. 2. while selling their crops, in the calculation of their budget.

  2. Solution. Cone, sphere, cylinder and cuboid are the three-dimensional solids which have many real-life examples. All these shapes help us to identify the shape of the object in the real world based on the dimensions given. For example, the shape of the bed is in the form of the cuboid. Have you ever imagined the shape of the ice cream cone, or ...

  3. Cube root of number is a value which when multiplied by itself thrice or three times produces the original value. For example, the cube root of 27, denoted as 3 √27, is 3, because when we multiply 3 by itself three times we get 3 x 3 x 3 = 27 = 3 3. So, we can say, the cube root gives the value which is basically cubed.

  4. Solved Examples on Cubic Equation Formula. Question 1: Solve x3 – 6x2 + 11x – 6 = 0. Solution: This equation can be factorized to give. (x-1) (x-2) (x-3)=0. This equation has three real roots, all different – the solutions are x = 1, x = 2 and x = 3. Question 2: Solve the cubic equation x3 – 23x2 + 142x – 120.

  5. Cuboid. In geometry, a cuboid is a solid shape or a three-dimensional shape. A convex polyhedron that is bounded by six rectangular faces with eight vertices and twelve edges is called a cuboid. A cuboid is also called a rectangular prism. A cuboid with six square faces is called a cube. An example of a cuboid in real life is a rectangular box.

  6. The sphere is a geometrical three-dimensional solid having a curved surface. Like other solids, such as cube, cuboid, cone and cylinder, a sphere does not have any flat surface or a vertex or an edge. The real-life examples of the sphere are: Basketballs; World Globe; Marbles; Planets; Moon; Properties of a sphere

  7. In geometry, 3D shapes are solid shapes or figures that have three dimensions. Generally, length, width and height are the dimensions of 3D shapes (three-dimensional shapes). The common names of these shapes are cube, cuboid, cone, cylinder and sphere. 3D shapes are defined by their respective properties such as edges, faces, vertices, curved ...

  8. Surface Area of a cube is the total area of the outside surfaces of the cube and is given by A= 6a 2, where a is the edge. A cube has 6 identical square faces and hence it is also called as a hexahedron. Each face of a cube has 4 edges and totally there are 12 edges. It is measured in terms of square unit.

  9. Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc.

  10. Q. Give two new examples of each of the following three dimensional shapes: (i) Coen. (ii) Sphere. (iii) Cylinder. (iv) Cuboid. (v) Pyramid. Q. Give two examples for opposing reactions. Q. Give two examples for oxidation-reduction reaction. Q.