In our daily life, we see many objects like books, pencil boxes, cones, football, cylinder. These all are three-dimensional objects (solid shapes). All these objects occupy some shape and have three dimensions Length, Breadth, Height, or Depth. We often find some shapes with two or more identical (congruent) faces. For example, the cube has squared faces on each side....

Volume of a regular tetrahedron is a3/(6√2) where a is the edge of the tetrahedron. Pyramid with a triangular base is called a tetrahedron, it is a solid with four triangular faces....

Parallelepiped is a three-dimensional structure whose each face is a parallelogram. A parallelepiped has 6 parallelogram faces, 8 vertices, and 12 edges. The structure of a parallelepiped is similar to a three-dimensional hollow or solid box. It is used in real-life applications. Objects such as matchboxes, bricks, mobile phones, and many more things from which we are surrounded are examples of rectangular parallelepiped. A parallelepiped can be said a prism with a parallelogram base....

Cubic meter is a unit of capacity or measurement of a volume. It is the SI unit of the measurement of the volume. Volume is defined as the measure of space occupied by a three-dimensional object. The volume of a cone, cylinder, cube, etc. is measured in cubic meters....

Volume of a Cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object. An object with a larger volume would occupy more space. The volume of the cube is calculated by multiplying the length, breadth, and height of the cube. For a cube the length, breadth, and height are equal. Thus, the volume of a cube is just a side cube....

Volume of a Sphere is the amount of liquid a sphere can hold. Volume of Sphere formula is given as 4/3πr3. It is the space occupied by a sphere in 3-dimensional space. It is measured in unit3 i.e. m3, cm3, etc. A sphere is a three-dimensional solid object with a round form in geometry....

A trapezium is a quadrilateral with one pair of parallel opposite sides, according to Euclidean geometry. A trapezium is derived from the Greek word “trapeza,” which means “table.” It is a two-dimensional quadrilateral (made up of four straight lines) with two parallel opposite sides. The opposite parallel sides are referred to as the trapezium’s base, while the non-parallel sides are referred to as its legs. It has four sides and four corners and is a closed plane shape. It is also called a trapezoid....

Given a regular hexagon with side A, which inscribes a circle of radius r, which in turn inscribes a square of side a.The task is to find the area of this square.Examples:...

Area of a triangle is the region enclosed by all its three sides. It is generally calculated with the help of its base and height. To Find the Area of a triangle A with base b and height h, We use the formula, A = [Tex]\frac{1}{2} \times b \times h [/Tex]....

Given an array arr[], the task is to find the lexicographically largest triplet in that array that can form a triangle. If no such triplet exists, print -1.Example:...

Three dimensions can be measured, length, width, and height, for any object that you can see or touch. There are certain dimensions of our home that we live in. The rectangular display screen/Monitor you’re looking at has a width and breadth of its length. For every three-dimensional geometrical structure, surface area and volume are measured....

Octagonal Prism is a 3D shape with two octagon-shaped ends connected by eight rectangular sides. Thus an octagonal has 10 faces out of which 8 are rectangular and 2 are octagonal. In this article, we’ll talk about what an octagon prism is, its surface area and volume formulas, and real-life examples where we see octagonal objects....