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Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve PDF Download

Important Points

  1. Mensuration
    It is branch of mathematics which is concerned about the measurement of length ,area and Volume of plane and Solid figure
  2. Perimeter
    (a)  The perimeter of plane figure is defined as the length of the boundary
    (b) It units is same as that of length i.e. m ,cm,km
  3. Area
    (a) The area of the plane figure is the surface enclosed by its boundary
    (b) It unit is square of length unit. i.e. m2 , km2
  4. Volume 
    Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. Its units are always ''cubic", that is, the number of little element cubes that fit inside the figure.

Volume Unit conversion

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

Surface Area and Volume of Cube and Cuboid
Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT AchieveSurface Area and Volume of Right circular cylinder
Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

Surface Area and Volume of Right circular cone
Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

Surface Area and Volume of sphere and hemisphere

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT AchieveSphere

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT AchieveHemisphere

Important Formulas: Surface Area & Volumes | Mathematics for EmSAT AchieveType and Measurement

  • Surface area of Sphere - 4πr2
  • Volume of Sphere- 4/3πr3
  • Curved Surface area of hemisphere 2πr2
  • Total Surface area of hemisphere - 3πr2
  • Volume of hemisphere - 2/3πr3
  • Volume of the spherical shell whose outer and inner radii and 'R' and V respectively - 4/3π(R3 - r3)

How the Surface Area and Volume are determined
Important Formulas: Surface Area & Volumes | Mathematics for EmSAT AchieveImportant Formulas: Surface Area & Volumes | Mathematics for EmSAT Achieve

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FAQs on Important Formulas: Surface Area & Volumes - Mathematics for EmSAT Achieve

1. What is the formula for finding the surface area of a rectangular prism?
Ans. The formula for finding the surface area of a rectangular prism is given by 2(lw + lh + wh), where l is the length, w is the width, and h is the height of the prism.
2. How do you calculate the surface area of a cylinder?
Ans. The formula for calculating the surface area of a cylinder is 2πr(r + h), where r is the radius of the base and h is the height of the cylinder.
3. What is the formula for finding the volume of a cone?
Ans. The formula for finding the volume of a cone is given by (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
4. How do you calculate the volume of a sphere?
Ans. The formula for calculating the volume of a sphere is (4/3)πr³, where r is the radius of the sphere.
5. How do you find the surface area of a triangular prism?
Ans. To find the surface area of a triangular prism, calculate the sum of the areas of all the faces. This can be done by finding the area of the two triangular bases and the three rectangular faces, and then adding them together.
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