Mensuration SSC CGL Questions, Basic Concept & Free Topic Tests

Mensuration SSC CGL Questions are one of the most important parts of the quantitative aptitude section. Candidates preparing according to the latest SSC CGL Notification can expect at least 2-3 mensuration questions in the SSC CGL Exam with an easy to moderate difficulty level. Mensuration is a practical mathematical topic that deals with the measurement of figures and shapes and is widely used in daily life. In this blog, we have provided the basic concepts of Mensuration along with important formulas and practice questions. We have also provided Mensuration SSC CGL Questions in both Hindi and English with answers and detailed solutions. Candidates are advised to understand the concepts and formulas first and then solve the questions carefully to improve their preparation level for the exam.

Mensuration for SSC CGL: Topic-wise and Complete Preparation

Solving the topic test is very important if you want to get in-depth knowledge of the individual SSC CGL exam topics. Below, we have provided the topic tests for each section, including quizzes for current affairs, previous year question papers, and full-length SSC CGL mock tests.

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Mensuration for SSC CGL

Mensuration is a mathematical concept that deals with the measurement of figures and shapes such as length, width, height, area, perimeter, etc.

Formulas of Mensuration For 2D Shapes:

Rectangle:

• Area of Rectangle = Length × Breadth.
• Perimeter of a Rectangle = 2 × (Length + Breadth)
• Length of the Diagonal = √(Length² + Breadth²)

Square:

• Area of a Square = Length × Length = (Length)²
• Perimeter of a square = 4 × Length
• Length of the Diagonal = √2 × Length

Parallelogram:

• Area of a Parallelogram = Length × Height
• Perimeter of a Parallelogram = 2 × (Length + Breadth)

Triangle:

• Area of a triangle=(1/2)(Base × Height)

For a triangle with sides measuring a, b and c, respectively:

• Perimeter = a + b + c
• s = semi perimeter = perimeter/2 =  (a+b+c)/2
• Area of Triangle,

Trapezium:

• Area of a trapezium = (1/2) × (sum of parallel sides) × (distance between parallel sides)
  = (1/2) × (AB+DC) × AE
• Perimeter of a Trapezium = Sum of All Sides

Rhombus:

• Area of a rhombus=(1/2)×Product of diagonals
• Perimeter of a rhombus = 4 × l

Mensuration Formulas For 3D Shapes

Shape	Volume (Cubic units)	Curved Surface Area (CSA) or Lateral Surface Area (LSA) (Square units)	Total Surface Area (TSA) (Square units)
Cube	a3	LSA = 4 a2	6 a2
Cuboid	l × b × h	LSA = 2h (l + b)	2 (lb +bh +hl)
Sphere	(4/3) π r3	4 π r2	4 π r2
Hemisphere	(⅔) π r3	2 π r2	3 π r2
Cylinder	π r2 h	2π r h	2πrh + 2πr2
Cone	(⅓) π r2 h	π r l	πr (r + l)

Mensuration SSC CGL Questions: Download Free PDF for Solutions

Practice the different types of questions related to mensuration and find detailed solutions along with the explanation (provided in PDF). You are advised to first understand the concept of mensuration and go to the formulas related to it, then go to the Mensuration SSC CGL Questions and solve them. While solving the questions, you are highly advised to analyze the level of the questions very carefully.

Mensuration SSC CGL Question 1:

A solid metallic sphere of radius 26 cm is melted and recast into a cone having diameter of the base as 26 cm. What is the height of the cone?

A) 104 cm

B) 492 cm

C) 416 cm

D) 304 cm

Mensuration SSC CGL Question 2:

How many spheres each of radius 2.1 cm can be formed by melting a metallic cuboid if the length, breadth and height of the cuboid are 44.1 cm, 15 cm and 22 cm, respectively?

A) 380

B) 365

C) 350

D) 375

Mensuration SSC CGL Question 3:

The radius and height of right circular cylindrical pipe are 21 cm and 7 cm. Find the cost of overlaying the curved part of the pipe with aluminium sheet costing Rs. 2 per cm²

A) Rs. 1,848

B) Rs. 422

C) Rs. 844

D) Rs. 924

Mensuration SSC CGL Question 4:

A solid copper sphere of radius 9 cm is melted and moulded into a right circular cylindrical rod of radius 3 cm. What is the length of this rod?

A) 112 cm

B) 108 cm

C) 180 cm

D) 90 cm

Mensuration SSC CGL Question 5:

Base radius of a right circular cone is equal to the edge of a cube whose volume is equal to the 1728 m³. Find the height of the cone if slant height of the cone is 37 metres.

A) 35 metres

B) 37 metres

C) 32 metres

D) 34 metres

Mensuration SSC CGL Question 6:

Base area of a right circular cylinder is equal to the area of a rectangle having its length 6.6 cm. What will be the perimeter of the rectangle if radius of the cylinder is 2.1 cm? (Take π = )

A) 17.4 cm

B) 8.7 cm

C) 14.6 cm

D) 16.8 cm

Mensuration SSC CGL Question 7:

The radii of the ends of a frustum of a cone are 5 cm and 2 cm. Find the volume of frustrum if its height is 14 cm. (Use π = )

A) 548 cm³

B) 572 cm³

C) 458 cm³

D) 624 cm³

Mensuration SSC CGL Question 8:

The length of the edge of a cube is 6.3 cm. What will be the volume of the largest sphere that can be carved out from the cube? (Take π = )

A) 156.328 cm³

B) 130.977 cm³

C) 160.321 cm³

D) 172.324 cm³

Mensuration SSC CGL Question 9:

A rectangular water tank is 3 metres high, 6 metres long and 7 metres wide. How much water (in litres) can it hold?

A) 1,26,000

B) 1,44,000

C) 1,14,000

D) 1,26,00

Mensuration SSC CGL Question 10:

A solid metallic hemisphere of radius 6.3 cm is melted and recast into a right circular cylinder of radius 9 cm. What is the height (in cm, correct to one decimal place) of the cylinder?

A) 1.9

B) 2.1

C) 2.7

D) 2.5

Candidates preparing for geometry and quantitative aptitude topics should also regularly follow the SSC CGL Exam Date so they can plan sufficient time for Mensuration practice, formula revision, and sectional mock tests before the examination.

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Mensuration SSC CGL Questions: FAQs