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20. Volume & Surface Area Formulas Volume tells us how much three-dimensional space an object occupies. Surface Area tells us the total area covered by the outer surfaces of a solid. This section covers the important formulas for: Cube Cuboid Cylinder Cone Frustum For surface area, the PDF uses: LSA = Lateral Surface Area CSA

19. Right-Angled Triangle & Isosceles Triangle Formulas A triangle can be classified according to its angles and sides. Two important types covered in this section are the Right-Angled Triangle and the Isosceles Triangle. This section explains the important formulas, diagrams, step-by-step examples, and exam shortcuts for both types. 1. Right-Angled Triangle A right-angled triangle is

18. General Triangle Formulas A general triangle is a triangle whose three sides may have different lengths and whose angles may also be different. Let the three sides of a triangle be: a, b, c. The corresponding angles can be represented by: A, B, C. The general triangle formulas are very important for SSC, CGL,

3. Semicircle Formulas A semicircle is exactly half of a circle. It has one curved boundary and one straight boundary, which is the diameter of the original circle. In mensuration questions, the most important things to calculate for a semicircle are its area and perimeter. What Is a Semicircle? r Diameter = d Curved part

16. Mensuration Practice Questions & Solved Problems In the previous part, we studied the important formulas for Volume and Surface Area of different three-dimensional solids. This part focuses on applying those formulas to competitive-exam style problems. The main solids covered are: Cube Cuboid Cylinder Cone Frustum Sphere Hollow Sphere Hemisphere Prism Pyramid 1. How to

15. Volume & Surface Area Formulas Volume measures the amount of space occupied by a three-dimensional object. Surface Area measures the total area of the outer surfaces of a three-dimensional object. The provided formula sheet covers the following solids: Cube Cuboid Cylinder Cone Frustum Sphere Hollow Sphere Hemisphere Prism Pyramid 1. Important Units Measurement Common

14. Isosceles Triangle Formulas An isosceles triangle is a triangle in which two sides are equal. In the formula sheet, the two equal sides are represented by a, while the base is represented by b. Therefore: Equal sides = a and a Base = b The provided formula sheet gives formulas for: Area Perimeter Height

13. Equilateral Triangle Formulas An equilateral triangle is a triangle in which all three sides are equal. If each side of an equilateral triangle is a, then: All three sides are equal to a. Each interior angle is 60°. The altitude divides the triangle into two equal right-angled triangles. The provided formula sheet gives the

12. Right-Angled Triangle Formulas A right-angled triangle is a triangle in which one angle is exactly 90°. The side opposite the 90° angle is called the hypotenuse. It is the longest side of the right-angled triangle. The other two sides are commonly called the perpendicular and base. The important formulas in this section are: Area

11. General Triangle Formulas A general triangle is a triangle in which the three sides and three angles may be different. Let the three sides of a triangle be a, b and c. For general triangle problems, some of the most important formulas are: Semiperimeter Area using Heron’s formula Area using two sides and included