Quantitative Aptitude SSC CGL, SSC quantitative aptitude Free access now

Mensuration for SSC CGL | Concepts & Practice | SSC CGL Quantitative Aptitude

Build Mensuration accuracy for SSC CGL with concept clarity, key relations, exam-speed methods and approved practice.

Tailored for SSC CGL Quantitative Aptitude. 313 active practice questions. 1 subject mock. Related topics: Probability, Quadratic Equations, Percentage.

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Why students use this page

Learn the shortcut first, then solve with less confusion

This page is built to show the shortcut, the trap, and the faster solving route before you start clicking through questions.

Learn the shortcut

Understand the fastest pattern for this topic before you attempt full MCQs.

Avoid common traps

See where students commonly lose marks so you can eliminate bad options earlier.

Solve faster in exam

Apply one practical method before attempting MCQs and cut down hesitation.

Quick Summary Free

Mensuration at a glance

Mensuration revision for SSC CGL: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Concept

Core idea

Mensuration deals with perimeter, area, surface area and volume. The main exam risk is using the correct formula with the wrong dimension or unit, so identify the figure and required measurement first.

SSC CGL focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Short Notes

Fast revision notes

Mensuration revision rule: concept → formula/relation → one worked example → timed practice → error review.

Revision

Last-minute points

  • Core concept
  • Key formula/relation
  • Common trap
  • Approved practice
Formula Box Free

Formula / key facts

  • Rectangle area = l×b
  • Triangle area = ½×b×h
  • Circle area = πr²
  • Cuboid volume = lbh
  • Cylinder volume = πr²h
Shortcut Zone Free

Tricks / shortcuts

Keep linear, square and cubic units separate. Convert dimensions to the same unit before inserting them into a formula.

Memory Trick

Remember faster

Keep linear, square and cubic units separate. Convert dimensions to the same unit before inserting them into a formula.

Next Step

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Exam Tips

How to score with this topic

  • Read the exact requirement before choosing a shortcut.
  • Keep units, signs and percentage bases consistent.
  • Use the final few seconds to verify direction and magnitude.
Mistakes

Common traps to avoid

  • Using a memorised shortcut without checking its condition.
  • Skipping unit or base conversion.
  • Doing long arithmetic before identifying the underlying relation.
Solved Example

Step-by-step example

Practice example: Find the total surface area of a cube with edge 6 cm.

Solution: The total surface area is 216 cm².

Practice Preview

Before you solve

  1. A rectangular park is 60 m long and 40 m wide. A path 5 m wide runs inside along all sides. Find the area of the path.
  2. A rectangle has area 160 cm^2 and length 20 cm. Find its breadth.
  3. In an SSC-style mensuration problem, a rectangle has area 198 cm^2 and length 22 cm. Find its breadth.
Learn the shortcut first

Shortcut before you solve

Geometry gets faster when you first fix the shape and the exact quantity being asked.

Featured shortcut

Identify the shape first, then apply the direct formula without mixing area and perimeter.

Exam-use rule

Use the formula that matches both the shape and the quantity asked.

Use this in 3 seconds

Underline whether the question asks for area, perimeter, volume, or surface area.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

Use the same rule instead of re-solving from scratch.

Step 3 Eliminate wrong options

Remove confusing choices before comparing the last few.

Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

Start with the first 10 questions free, then unlock the rest with premium

Now apply the trick on real questions

Use the shortcut above before solving these questions

Identify the shape first, then apply the direct formula without mixing area and perimeter.

Tip: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Real exam shortcut before you solve

Find the area of a rectangle with length 8 cm and breadth 5 cm.

Step 1

Area of rectangle = length x breadth.

Step 2

8 x 5 = 40 sq cm.

Rule

Use the formula that matches both the shape and the quantity asked.

3-second trick

Underline whether the question asks for area, perimeter, volume, or surface area.

Trap to avoid

Using the perimeter formula when the question asks for area.

Correct answer

40 sq cm

Worked example

Find the area of a rectangle with length 8 cm and breadth 5 cm.

Thinking path
  • Shape is a rectangle.
  • The question asks for area, not perimeter.
  • So multiply length and breadth.

Final answer: 40 sq cm

Why this is fast: The right formula ends the question immediately.

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Q1 Easy

Using the given measurements, determine the unknown quantity: The perimeter of a rectangle is 80 cm and its length is 29 cm. Find the breadth.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: l+b = 80/2 = 40; breadth = 40-29 = 11 cm. Therefore, the required answer is 11.
Q2 Easy

In an SSC-style mensuration problem, the perimeter of a rectangle is 72 cm and its length is 26 cm. Find the breadth.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: l+b = 72/2 = 36; breadth = 36-26 = 10 cm. Therefore, the required answer is 10.
Q3 Easy

The perimeter of a rectangle is 64 cm and its length is 23 cm. Find the breadth.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: l+b = 64/2 = 32; breadth = 32-23 = 9 cm. Therefore, the required answer is 9.
Q4 Easy

For the following practical mensuration situation, a rectangle has area 336 cm^2 and length 28 cm. Find its breadth.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: Breadth = area/length = 336/28 = 12 cm. Therefore, the required answer is 12.
Q5 Easy

Compare the relevant mensuration measures and answer: A rectangle has area 286 cm^2 and length 26 cm. Find its breadth.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: Breadth = area/length = 286/26 = 11 cm. Therefore, the required answer is 11.
Q6 Easy

Using the given measurements, determine the unknown quantity: A rectangle has area 240 cm^2 and length 24 cm. Find its breadth.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: Breadth = area/length = 240/24 = 10 cm. Therefore, the required answer is 10.
Q7 Easy

In an SSC-style mensuration problem, a rectangle has area 198 cm^2 and length 22 cm. Find its breadth.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: Breadth = area/length = 198/22 = 9 cm. Therefore, the required answer is 9.
Q8 Easy

A rectangle has area 160 cm^2 and length 20 cm. Find its breadth.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: Breadth = area/length = 160/20 = 8 cm. Therefore, the required answer is 8.
Q9 Medium

A rectangular park is 60 m long and 40 m wide. A path 5 m wide runs inside along all sides. Find the area of the path.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The path area is 900 m².
Q10 Easy

Find the total surface area of a cube with edge 6 cm.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The total surface area is 216 cm².
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FAQ

Frequently asked questions

How should I revise Mensuration for SSC CGL?

Revise the core relation, solve one worked example, then attempt a short timed practice set.

Are these official PYQs?

No. Practice questions are labelled from ExamPrepWay's approved original/practice bank unless a verified official source is explicitly shown.