We know that the volume of a region is given by its magnitude, that is how much space it takes. Thus, the surface area of cuboid = 2 (lh + lb + bh) Volume of Cuboid Total surface area = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3 + Area of rectangle 4 + Area of rectangle 5 + Area of rectangle 6 For the surface area of the cube, we need to find out the total area of all the rectangles. It has 6 rectangles which correspond to the six faces of the cuboid. Now the figure shows the flattened cuboid. To calculate the surface area of the cube, let’s open it up like in the figure given below. Let’s say the length of the cuboid is “l”, the breadth is “b” and the height is “h”. The figure below shows the cuboid shape, this is the shape of our boxes, cartons, etc, our goal is to derive the formulas to calculate its surface area and the volume. Let’s look at the surface of the following shapes: Cuboid It is essential to know the formulas for calculating the areas and volumes for basic shapes. The surface area is the area that describes the amount of material used to cover a geometric solid while the volume can be defined as a measure of how much space the solid takes. All these things require some knowledge of the volume and surface areas of the basic shapes. Similarly, before making a metal sphere ball, we need to know how much material will be required. For example, a painter might want to know the area he/she has to paint for the given shape.
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It is essential in many of the real-life problems for us to know how to calculate the area and volume of these shapes. Most of the time these solids are either in the shape of a cube, cylinder, and cone, etc., or in the shape that combines these shapes.