[Maths Class Notes] on Surface Area Formulas Pdf for Exam

Geometry is a vital branch of mathematics. Students have to learn various formulas to understand the concepts of geometry properly. Surface area formulas are part of one of the most important topics of geometry. In this topic, students will learn the formulas of lateral and total surface areas of several geometrical shapes. By learning the formulas, students will be able to solve the sums easily. Here, we are going to discuss the surface area formulas of some geometrical shapes. For example, the surface area of a cylinder, surface area of a sphere, etc. are discussed below.

Surface Area and Volume Formulas

Here, we have given the surface area and volume formulas of different geometrical objects.

Cylinder:

The formula for calculating the area of the curved surface of a cylinder or the lateral surface area of a cylinder is 2πrh. The formula for calculating the total surface area of a cylinder is 2πr(r + h). The formula for calculating the volume of a cylinder is πr2h.

Sphere:

The formula for calculating the total surface area of a sphere is 4πr² and for the volume of a sphere is 4/3 πr³. 

Cone:

The formula for calculating the total surface area of a cone is πr(l + r) and for the volume is ⅓ πr2h.

Cuboid:

The formula for calculating the lateral surface area of cuboid is 2h(l + b) and for the total surface area is 2(lb + bh + lh).

Pyramid:

The formula for calculating the total surface area of a pyramid is (½ × perimeter of base × slant height) + area of the base.

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Conclusion

To score good marks in mathematics exams, students have to learn the formulas of geometry sincerely. They should learn and practice the surface area and volume formulas such as the formula for the surface area of a sphere and memorize them to solve the sums of geometry easily.