Calculate the volume, surface area and diagonal of a cuboid.

A cuboid is a 3D rectangular prism with six faces, all parallelograms. A cuboid is a polygon with three to twelve vertices. A cuboid has 8 edges and 12 corners. The length, width, and depth of a cuboid are called the dimensions of the cuboid. A cuboid has two kinds of diagonals: the minor diagonal, which runs from the lower left corner to the upper right corner, and the major diagonal, which runs from the lower left corner to the upper left corner. A cuboid is a special kind of parallelepiped. A cuboid can also be called a rectangular box.

Cuboids are the 3D analogs of parallelepipeds (rectangular
solids), which are the 3D analogs of boxes. A cuboid has six
rectangular faces (though not all rectangular faces are
cuboids; see below). The cuboid is the 3-dimensional case of
the parallelepiped, a box-like shape that has six faces. A
cuboidal body has six faces which are parallel and equilateral
parallelograms. The difference between a cuboid and a
rectangular prism is that the former has edges of equal
length, while the latter has parallel top and bottom faces.
**Cuboids are used to build walls, floors, ceilings, and
roofs. Cuboids are also known as rectangular
parallelepipeds**.

💡 A cuboid is shown in the figure with length 'l' , bredth 'b' and height 'h'.

- Volume of a cuboid = lbh
- Diagonal of cuboid = √(l² + b² + h²)
- Curved/Lateral Surface Area = 2(lh + bh)
- Total Surface Area = 2(lh + bh + lb)
- Where l-length, b-breadth,h-height

Enter cuboid length, breadth and cuboid height values into the appropriate input fields and then click calculate button. All values will appear in the answer box with formula and image of a cuboid. If you need to calculate another cuboid value simply clear all input fields with help of a clear or erase button and then re-enter all parameters for dimensions once again.

**Example.1:-**
A room has 16m length, 14m breadth and 7m height then find its
volume of room and surface area of the room?

**Answer =>** l→ 16 m, b→ 14 m, h→ 7 m

Volume = lbh = (16 x 14 x 7) m³ = 1568m³

Total Surface Area = 2(lh + bh + lb) = [2(16 x 14 + 14 x 7 + 16 x 7)] cm² = (2 x 434) cm² = 868 cm²

Thanks 💙