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# Cuboid

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 Sub Topics Cuboid is a Solid geometrical object, which is defined in 3 d, means we define cuboid in 3 dimension view and proper cuboid definition is– A solid 3 d Geometry, whose all sides are not equal means length, width and height of cuboids are not equal in length and all these sides (length, height and width) of cuboids are define in 3d (3 dimension), that’s why we called cuboid as a 3d structure. Now we discuss geometry of cuboids. Each cuboid is made by 6 squares which meet at Right Angle means if we connect 6 squares at right angle, then produce geometry is known as cuboid geometry and each cuboid has 8 vertices and 12 edges. Now we discuss formulas for calculating volume and surface area of cuboids: Volume of cuboids = l * b * h, Here l is length of cuboid, h is height of cuboid and b is width of cuboid. Surface area of cuboid = (2 * l + 2 * b + 2 * h), Here l is length of cuboid, h is height of cuboid and b is width of cuboid, Suppose, we have a cuboid, whose length is equal to 3 inch, height is equal to 4 inch and width is equal to 5 inch, then, Volume of cuboid = l * b * h, = 3 * 4 * 5, = 60 inch3. Surface area of cuboid = (2 * l + 2 * b + 2 * h), = (2 * 3 + 2 * 4 + 2 * 5), = (6 + 8 + 10), = 24 inch2. So, volume of cuboid is 60 inch3 and Surface Area of Cuboid is 24 inch2, where length is equal to 3 inch, height is equal to 4 inch and width is equal to 5 inch.

## Surface Area of Cuboid

In Geometry, we come across the two dimensional and three dimensional figures. In our daily life we need to do different mathematical calculations on these geometrical figures and get the results. If we talk about the two dimensional figures, we mostly need to work on their perimeters and areas. On another hand if we need to work on three dimensional figures, we find the volume of three dimensional figures and get the capacity of the given figures. These capacities are termed as the volume of the Solid objects.

Now we will learn about the surface area of Cuboid. In geometry when we need to find the surface area of a cuboid, we must first know how many surfaces does the figure have and then find the surface of each plane forming the figure. Finally we add up the area of the entire surface to get the surface area of cuboids. Let us look at the cuboid now. We know a cuboid has 6 faces, from which a pair of opposite faces of the cuboid are parallel and congruent. Thus we say that to find the surface area of a cuboid, we say if the length of the cuboid is “l” units, the breadth of the cuboid is “b” units and the height of the cuboid is “h” units, then the area of the three faces will be:
1. L * b
2. B * h
3. H * l
So we simply get the surface area of the six faces of the cuboid as:
= 2 (l * b + b * h + h * l),
A room also forms the shape of the cuboid, if we need to paint the four walls of the room, we need not to find the surface area of the room but in such case we find the area of the four walls as = 2h (l + b) square units.