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TCS NQT GuideTCS NQT Numerical AbilityMensuration 2D & 3D: Area, Shapes, and Perimeter Formulas

Mensuration 2D & 3D: Area, Shapes, and Perimeter Formulas

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

  • 1Circle: Area = pi * r^2, Perimeter = 2 * pi * r.
  • 2Cylinder: Volume = pi * r^2 * h, Surface Area = 2 * pi * r * h.
  • 3Sphere: Volume = 4/3 * pi * r^3, Surface Area = 4 * pi * r^2.
  • 4Cone: Volume = 1/3 * pi * r^2 * h.

TCS NQT Style Practice Questions

Practice Question 1

Find the volume of a cylinder of radius 7 cm and height 10 cm (Take pi = 22/7).

A) 1540 cm3
B) 770 cm3
C) 3080 cm3
D) 1000 cm3

Correct Answer: A) 1540 cm3

Step-by-step Solution: Volume = pi * r^2 * h = (22/7) * 7 * 7 * 10 = 22 * 7 * 10 = 1540 cubic cm.

Practice Question 2

If the radius of a sphere is doubled, its volume increases by what factor?

A) 8
B) 4
C) 2
D) 6

Correct Answer: A) 8

Step-by-step Solution: Volume of a sphere is proportional to r^3. (2r)^3 = 8r^3, so the volume increases by a factor of 8.

Study Pro-Tip

Write down formulas in standard dimensions trackers to prevent radius/diameter confusion.

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