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Cuboid

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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

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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.

Volume of Cuboid

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We come across many two dimensional and three dimensional figures while we study Geometry in our day to day life. Here in this session we are going to learn about volume of a Cuboid. The purpose of finding the volume of the cuboid is to know the capacity of the three dimensional figure, which tells us how much space the figure occupies in the space. It also helps us to find the storage capacity of the three dimensional figures. To find the volume of cuboid, we must know the dimensions of the cuboid. We say cuboid is formed by joining the 6 faces which are in the form of the rectangles. The rectangles used to form the cuboid are such that the opposite faces of the rectangles are exactly equal. In order to volume of cuboids, we need to know the dimensions of the length, the breadth and the height of the cuboid. Also we must remember that the volume of the cuboid is always measured in units Cube or we call it as cubic units.

Let us assume that the cuboid has the length of l units, breadth of b units and the height of h units, and then we say that the volume of the cuboid is equal to the product of the length, the breadth and the height of the given cuboid. Its formula is written as follows:
Volume of the cuboid = length * breadth * height = l * b * h cubic units.
Finding the volume of the cuboid help us to solve many real life problems we come across in our daily life, it may be finding the capacity of the talcum powder box which is in the form of cuboid, finding the capacity if the tin storing edible oil, which is in the form of the cuboid.