Mensuration 3D Formulas

Here are some important formulas, we must consider while solving mensuration 3D questions.

Shape

Volume Formula

Curved Surface Area Formula

Total Surface Area Formula

Cube

V = s³ (where s is the length of one side)

CSA = 4s² (where s is the length of one side)

TSA = 6s² (where s is the length of one side)

Cuboid

V = lwh (where l is the length, w is the width, h is the height)

CSA = 2lh + 2wh (where l is the length, w is the width, h is the height)

TSA = 2lw + 2lh + 2wh (where l is the length, w is the width, h is the height)

Cylinder

V = πr²h (where r is the radius, h is the height)

CSA = 2πrh (where r is the radius, h is the height)

TSA = 2πr(h + r) (where r is the radius, h is the height)

Cone

V = (1/3)πr²h (where r is the radius, h is the height)

CSA = πrl (where r is the radius, l is the slant height)

TSA = πr(r + l) (where r is the radius, l is the slant height)

Sphere

V = (4/3)πr³ (where r is the radius)

CSA = 4πr² (where r is the radius)

TSA = 4πr² (where r is the radius)

Hemisphere

V = (2/3)πr³ (where r is the radius)

CSA = 2πr² (where r is the radius)

TSA = 3πr² (where r is the radius)

Mensuration 3D Formulas and Aptitude Questions

Mensuration 3D is all about measuring and calculating the size and volume of objects in three dimensions. This branch of mathematics involves using the Mensuration 3D Formula and Quantitative Aptitude skills to determine the size, volume, and surface area of shapes such as cubes, spheres, cones, frustum, prism, pyramids, and cylinders.

In this article, learn the concepts and formulas of 3D mensuration c, where youan solve a wide range of questions, and tips and tricks.

Practice Quiz

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Cuboid

Let the length, breadth, and height of the cuboid be ‘L’, ‘B’, and ‘H’ respectively....

Cube

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Cylinder (Right Circular Cylinder)

Let the radius of the base and height of the right circular cylinder be ‘R’ and ‘H’ respectively....

Hollow Cylinder (Hollow Right Circular Cylinder)

Let the inner radius of the base, outer radius of the base and height of the hollow right circular cylinder be ‘r’, ‘R’ and ‘H’ respectively....

Cone

Let the radius of the base, slant height and height of the cone be ‘R’, ‘L’ and ‘H’ respectively....

Sphere

Let the radius of the sphere be ‘R’...

Hemisphere

Let the radius of the hemisphere be ‘R’...

Mensuration 3D Formulas

Here are some important formulas, we must consider while solving mensuration 3D questions....

Sample Questions on Mensuration 3D

Q1: Find the length of the largest rod that can be kept in a cuboidal room of dimensions 10 x 15 x 6 m....

Related Resources:

Problems on Mensuration 3D | Set-2...

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