The sum of length breadth and height of a cuboid is 6√3

Mensuration entails the processes of measurements and all calculations pertaining to various geometrical shapes, occurring in mathematical theory as well as our daily lives. The study of all geometrical shapes falls under the scope of mensuration. Geometric shapes such as triangles, rectangles, quadrilaterals, circles, etc. Here, a cuboid is discussed below, Cuboid It is a three-dimensional, box-like shape that can be represented only in the three-dimensional plane. It has six faces, each of which is rectangular in shape. Thus a cuboid is formed when six rectangles are stacked up together, forming all three proportions of a cuboid, i.e., length, breadth, and height. Base Area of a Cuboid A cuboid is composed of 6 faces, all of them being rectangles. The area of a rectangle is the product of its length and breadth. Following this logic, the area of each face of the cuboid can be calculated. Thus, the area of the base of a cuboid would be given by the product of the length and breadth of the rectangle that forms such a base. Hence, base area of a cuboid = (l × b) sq. units. Volume of a Cuboid The volume of any solid represents its capacity. It is the quantification of the space inside a given shape and can only be calculated for three-dimensional shapes. Volume of cuboid = (l × b × h) cu. units. How to find the height of a cuboid if given the volume and base area? Solution: Let the length, height and breadth of the cuboid be l, b and h units respectively. Volume of the cuboi...