Table of Contents
Surface Area and Volume Formulas Class 9 – An Introduction
The surface area of a three-dimensional object is the total area of all the exposed surfaces of the object. The volume of a three-dimensional object is the total space inside the object.
There are many formulas for calculating the surface area and volume of various shapes. The most common formulas are for the surface area and volume of a rectangular prism and a square pyramid.
The surface area of a rectangular prism is the sum of the areas of all six sides. The surface area of a square pyramid is the sum of the areas of the four triangular faces and the base.
The following formulas can be used to calculate the surface area and volume of a rectangular prism and a square pyramid.
Surface Area of a Rectangular Prism:
SA = 2(bh) + 2(lw)
Volume of a Rectangular Prism:
V = bh
Surface Area of a Square Pyramid:
SA = 1/2(bh) + 1/2(lw)
Volume of a Square Pyramid:
V = 1/3(bh)
All Formulas of Surface Area and Volume Class 9 – The Figures
There are a few formulas for surface area and volume that are taught in Class 9 mathematics.
The Surface Area of a Cube
The surface area of a cube is the sum of the areas of its six faces.
The surface area of a cube is given by the equation:
SA = 6 × (side length)²
The Surface Area of a Rectangular Prism
The surface area of a rectangular prism is the sum of the areas of its six faces.
The surface area of a rectangular prism is given by the equation:
SA = 2(length)(width) + 2(height)(width)
The Surface Area of a Cylinder
The surface area of a cylinder is the sum of the areas of its two circular faces and the area of its cylindrical surface.
The surface area of a cylinder is given by the equation:
SA = πr² + 2πrh
The Volume of a Cube
The volume of a cube is the product of its length, width, and height.
The volume of a cube is given by the equation:
V = length × width × height
The Formula of Surface Area and Volume Class 9 – A Brief Analysis of the Figures
The surface area of a three-dimensional figure is the total area of all the surfaces that make up the figure. The volume of a three-dimensional figure is the total space inside the figure.
There are several formulas for calculating the surface area and volume of various three-dimensional figures. In this article, we will give a brief analysis of the surface area and volume formulas for some common three-dimensional figures.
Cube: The surface area of a cube is 6s², where s is the length of a side of the cube. The volume of a cube is s³.
Rectangular Prism: The surface area of a rectangular prism is 2(bh+bh+lw), where b is the width of the prism, h is the height of the prism, and l is the length of the prism. The volume of a rectangular prism is bh³.
Cylinder: The surface area of a cylinder is 2πrh, where r is the radius of the cylinder and h is the height of the cylinder. The volume of a cylinder is πr²h.
Sphere: The surface area of a sphere is 4πr², where r is the radius of the sphere. The volume of a sphere is πr³.
Pyramid: The surface area of a pyramid is the sum of the areas of the six faces of the pyramid. The volume of a pyramid is one-
