It means cuboid is a cube-like shape (but it is not cube as it is made of rectangles, not squares). The word 'cuboid' comes from the Latin words 'cubus' (meaning cube) and 'oid' (meaning like). What is the Meaning of Cuboid and Why is the Name? The three dimensions of a cuboid are its length, width, and height. It is different from a cube since all the faces of a cuboid are rectangular in shape, whereas, a cube has square faces. Hence, the volume of a cuboid, V = l × b × h = lbh cubic units.įAQs on Cuboid Shape What is a Cuboid Shape?Ī cuboid is a three-dimensional shape that has 6 faces, 12 edges, and 8 vertices. Therefore, the formula to calculate the volume of a cuboid is: The unit of the cuboid's volume is given as the cubic units. Hence, changing any one of these quantities changes the volume of the shape.

A cuboid's volume depends on its length, breadth, and height. The volume of a cuboid is considered the space occupied inside a cuboid. Lateral Surface Area of Cuboid, LSA = 2h (l + b) square units

Total Surface Area of Cuboid, TSA = 2 (lb + bh + lh) square units Hence, the formulae to find the surface area of a cuboid are given below:

$cube rectangle formula$

It can have two kinds of surface areas - Total surface area and lateral surface area. Since a cuboid is a 3D figure, the surface area will depend on the length, breadth, and height. The total area occupied by a cuboid shape is considered the surface area of a cuboid. Therefore, 4 space diagonals can be drawn inside it.Ĭonsidering the three main dimensions of a cuboid to be the length (l), width (w), and height (h), observe the basic formulas of a cuboid shape in the following table. The space diagonals pass through the interior of the cuboid. Since a cuboid has 6 faces, a total of 12 face diagonals can be drawn in a cuboid.Ī space diagonal is a line segment that joins the opposite vertices of a cuboid. Observe the following figure which shows a face diagonal and a space diagonal of a cuboid.įace diagonals can be drawn by connecting the opposite vertices on a particular face of a cuboid and we know that only two diagonals can be drawn on one face of a cuboid. Since a cuboid is a 3D shape, there are two types of diagonals in it: Apart from these, the face of a cuboid is the flat surface the edge is the line segment connecting two adjacent vertices, and the vertex is a point at which two or more edges meet. These dimensions of a cuboid are denoted by 'l' for length, 'w' for width (breadth), and 'h' for height. the width is the smaller of the two dimensions.the length is taken to be the larger of the two dimensions of the horizontal face of the cuboid, and.the height represents the length of any vertical edge.However, it is understood that if a cuboid is placed on a flat table, then It should be noted that there is no strict rule according to which an edge of a cuboid shape should be named as its length, width (breadth), or height. Observe the following cuboid which shows its three dimensions: length, width, and height.Ī cuboid is also known as a ' rectangular prism' or a ' rectangular parallelepiped'. The shape thus formed is called a cuboid. Now, imagine a shape that is formed when many congruent rectangles are placed one on top of the other. 'Cuboid.We know that a rectangle is a two-dimensional shape that has 4 sides. Given the diagonal, length and width find the height, volume and surface area of a rectangular prismįor more information on cuboids see: Weisstein, Eric W. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prismĤ. Given the surface area, length and width find the height, volume and diagonal of a rectangular prismģ. Given the length, width and height find the volume, surface area and diagonal of a rectangular prismĢ. So you can find the volume of a cube or surface area of a cube by setting these values equal to each other. Space Diagonal of Rectangular Prism: (similar to theĪ cube is a special case where l = w = h.For example, if you are starting with mm and you know h, l and w in mm, your calculations will result with d in mm, S in mm 2 and V in mm 3. The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. Units: Note that units are shown for convenience but do not affect the calculations. A cube is a special case where l = w = h for a rectangular prism. Enter any 3 variables for a rectangular prism into this online calculator to calculate the other 3 unknown variables.

Cube rectangle formula