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In today’s class, we will be talking about Wood. Enjoy the class!
THREE DIMENSIONAL SHAPES
Identification of threedimensional or 3D shapes Basic properties of cubes and cuboids, and cones Basic properties of cylinders and spheres Volume of cubes and cuboids
Surface Area and Volume of 3D shapes
The two distinct measures used for defining the 3D shapes are:
 Surface Area
 Volume
Surface Area is defined as the total area of the surface of the threedimensional object. It is denoted as “SA”. The surface area is measured in terms of square units. The three different classifications of surface area are defined below. They are:
 Curved Surface Area (CSA) is the area of all the curved regions
 Lateral Surface Area (LSA) is the area of all the curved regions and all the flat surfaces excluding base areas
 Total Surface Area (TSA) is the area of all the surfaces including the base of a 3D object
Volume is defined as the total space occupied by the threedimensional shape or solid object. The volume is denoted as “V”. It is measured in terms of cubic units.
Faces, Edges, and Vertices of 3D Shapes
Threedimensional shapes have many attributes such as vertices, faces and edges. The flat surfaces of the 3D shapes are called the faces. The line segment where two faces meet is called an edge. A vertex is a point where 3 edges meet.
Faces, Edges, and Vertices
How to Make 3d Shapes for Maths Project
If you know what are threedimensional shapes, it would ….be easy for you to build a 3d shape project for a house or a building. This would be easy for the students to make as they can measure the rooms easily. Rest all they need is cardboard, glue, scissors and art supplies to make it look exactly like a mini house or building. Here, we are going to discuss the list of different threedimensional shapes with its properties and the formulas of different 3D shapes

Cube:
A cube is a solid or threedimensional shape which has 6 square faces. The cube has the following properties.
 All edges are equal
 8 vertices
 12 edges
 6 faces
The surface area and the volume of the cube are given below:
The Surface Area of a Cube = 6a^{2 }square units
The volume of a Cube = a^{3 } cubic units

Cuboid:
A cuboid also called a rectangular prism, where the faces of the cuboid are a rectangle in shape. All the angle measures are 90 degree
 8 vertices
 12 edges
 6 faces
The surface area and the volume of the cuboid are given below:
The Surface Area of a Cuboid = 2(lb+bh+lh) Square units
The volume of a Cuboid = lbh Cubic units

Prism:
A prism has a 3D shape which consists of two equal ends, flat surfaces or faces, and also have identical crosssection across its length. Since the crosssection looks like a triangle, the prism is generally called a triangular prism. The prism does not have any curve. Also, a prism has
 6 vertices
 9 edges
 5 faces – 2 triangles and 3 rectangles
The surface area and the volume of the prism are given below:
The Surface Area of a Prism =2(Base Area) + (Base perimeter × length) square units
The volume of a Prism = Base Area × Height Cubic units

Pyramid:
A pyramid a solid shape which has a structure, whose outer faces are triangular and meet to a single point on the top. The pyramid base can be of any shape such as triangular, square, quadrilateral or in the shape of any polygon. The most commonly used type of a pyramid is the square pyramid i.e., it has a square base and four triangular faces. Consider a square pyramid, it has
 5 vertices
 8 edges
 5 faces
The surface area and the volume of the pyramid are given below:
The Surface Area of a Pyramid = (Base area) + (1/2) × (Perimeter) × (Slant height) Square units
The volume of a Pyramid = 1/ 3 × (Base Area) × height Cubic units

Cylinder:
A cylinder is defined as the threedimensional geometrical figure which has two circular bases connected by a curved surface. A cylinder has
 No vertex
 2 edges
 2 flat faces – circles
 1 curved face
The surface area and the volume of the cylinder are given below:
Surface Area of a Cylinder = 2πr(h +r) Square units
The curved surface area of a cylinder = 2πrh
The volume of a Cylinder = πr^{2} h Cubic units

Cone:
A cone is a threedimensional object or solid, which as a circular base and has a single vertex. The cone is a geometrical figure that decreases smoothly from the circular flat base to the top point called the apex. A cone has
 1 vertex
 1 edge
 a flat face – circle
 1 curved face
The surface area and the volume of the cone are given below:
The Surface Area of a Cone = πr(r +√(r^{2}+h^{2}) Square units
The curved surface area of a cone =πrl
Slant height of a cone = l = √(r2+h2)
The volume of a Cone = ⅓ πr^{2}h Cubic units

Sphere:
A sphere is a threedimensional solid figure which is perfectly round in shapes and every point on its surface is equidistant from the point is called the centre. The fixed distance from the centre of the sphere is called a radius of the sphere. A sphere has
 No vertex
 1 curved face
 No edges
The surface area and the volume of the sphere are given below:
The Curved Surface Area of a Sphere = 2πr² Square units
The Total Surface Area of a Sphere = 4πr² Square units
The volume of a Sphere = 4/3(πr^{3}) cubic units
In our next class, we will be talking about Construction. We hope you enjoyed the class.
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