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Mensuration — formula, example and practice

2D then 3D. Keep π = 22/7 or 3.14 consistent inside one question.

Content type: original worked example. Not labelled as a previous-year question.

Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions

Formula

Rectangle area = l×b · Circle area = πr² · Cuboid volume = l×b×h

Measure length, area and volume. 2D first, 3D second.

What you should learn here

Surface area questions often want CSA (side only) not TSA (including lids). Read “open pipe / closed box”.

Worked example

Question. Area of a circle with radius 7 cm (π = 22/7).

Solution. 22/7 × 49 = 154 cm².

Common mistake. Mixing diameter and radius, or using π = 22/7 in one step and 3.14 in the next.

When to use the shortcut. Write units in the answer. Board papers deduct for missing cm² vs cm³.

Related chapters and tests

Geometry Trigonometry Percentage Ratio and Proportion All formulas SSC GD mocks SSC CGL mocks

150 important Mensuration questions

Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.

Q. 1क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 2क्षेत्रमिति

Perimeter of a square of side 8 is

Answer / solution

Correct option: D

4s = 32.

Q. 3क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 4क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 5क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 6क्षेत्रमिति

Volume of a cuboid 10×7×6 is

Answer / solution

Correct option: D

lbh = 420.

Q. 7क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 8क्षेत्रमिति

Perimeter of a square of side 14 is

Answer / solution

Correct option: D

4s = 56.

Q. 9क्षेत्रमिति

Area of a rectangle 16 × 7 is

Answer / solution

Correct option: A

lb = 112.

Q. 10क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 11क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 12क्षेत्रमिति

Volume of a cuboid 12×9×6 is

Answer / solution

Correct option: D

lbh = 648.

Q. 13क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 14क्षेत्रमिति

Perimeter of a square of side 10 is

Answer / solution

Correct option: C

4s = 40.

Q. 15क्षेत्रमिति

Area of a rectangle 13 × 7 is

Answer / solution

Correct option: B

lb = 91.

Q. 16क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 17क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 18क्षेत्रमिति

Volume of a cuboid 14×7×6 is

Answer / solution

Correct option: B

lbh = 588.

Q. 19क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 20क्षेत्रमिति

Perimeter of a square of side 16 is

Answer / solution

Correct option: C

4s = 64.

Q. 21क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 22क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 23क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 24क्षेत्रमिति

Volume of a cuboid 16×9×6 is

Answer / solution

Correct option: B

lbh = 864.

Q. 25क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 26क्षेत्रमिति

Perimeter of a square of side 12 is

Answer / solution

Correct option: D

4s = 48.

Q. 27क्षेत्रमिति

Area of a rectangle 16 × 7 is

Answer / solution

Correct option: A

lb = 112.

Q. 28क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 29क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 30क्षेत्रमिति

Volume of a cuboid 18×7×6 is

Answer / solution

Correct option: D

lbh = 756.

Q. 31क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 32क्षेत्रमिति

Perimeter of a square of side 8 is

Answer / solution

Correct option: D

4s = 32.

Q. 33क्षेत्रमिति

Area of a rectangle 13 × 7 is

Answer / solution

Correct option: B

lb = 91.

Q. 34क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 35क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 36क्षेत्रमिति

Volume of a cuboid 10×9×6 is

Answer / solution

Correct option: A

lbh = 540.

Q. 37क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 38क्षेत्रमिति

Perimeter of a square of side 14 is

Answer / solution

Correct option: D

4s = 56.

Q. 39क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 40क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 41क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 42क्षेत्रमिति

Volume of a cuboid 12×7×6 is

Answer / solution

Correct option: A

lbh = 504.

Q. 43क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 44क्षेत्रमिति

Perimeter of a square of side 10 is

Answer / solution

Correct option: C

4s = 40.

Q. 45क्षेत्रमिति

Area of a rectangle 16 × 7 is

Answer / solution

Correct option: A

lb = 112.

Q. 46क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 47क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 48क्षेत्रमिति

Volume of a cuboid 14×9×6 is

Answer / solution

Correct option: C

lbh = 756.

Q. 49क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 50क्षेत्रमिति

Perimeter of a square of side 16 is

Answer / solution

Correct option: C

4s = 64.

Q. 51क्षेत्रमिति

Area of a rectangle 13 × 7 is

Answer / solution

Correct option: B

lb = 91.

Q. 52क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 53क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 54क्षेत्रमिति

Volume of a cuboid 16×7×6 is

Answer / solution

Correct option: C

lbh = 672.

Q. 55क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 56क्षेत्रमिति

Perimeter of a square of side 12 is

Answer / solution

Correct option: D

4s = 48.

Q. 57क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 58क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 59क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 60क्षेत्रमिति

Volume of a cuboid 18×9×6 is

Answer / solution

Correct option: A

lbh = 972.

Q. 61क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 62क्षेत्रमिति

Perimeter of a square of side 8 is

Answer / solution

Correct option: D

4s = 32.

Q. 63क्षेत्रमिति

Area of a rectangle 16 × 7 is

Answer / solution

Correct option: A

lb = 112.

Q. 64क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 65क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 66क्षेत्रमिति

Volume of a cuboid 10×7×6 is

Answer / solution

Correct option: D

lbh = 420.

Q. 67क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 68क्षेत्रमिति

Perimeter of a square of side 14 is

Answer / solution

Correct option: D

4s = 56.

Q. 69क्षेत्रमिति

Area of a rectangle 13 × 7 is

Answer / solution

Correct option: B

lb = 91.

Q. 70क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 71क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 72क्षेत्रमिति

Volume of a cuboid 12×9×6 is

Answer / solution

Correct option: D

lbh = 648.

Q. 73क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 74क्षेत्रमिति

Perimeter of a square of side 10 is

Answer / solution

Correct option: C

4s = 40.

Q. 75क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 76क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 77क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 78क्षेत्रमिति

Volume of a cuboid 14×7×6 is

Answer / solution

Correct option: B

lbh = 588.

Q. 79क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 80क्षेत्रमिति

Perimeter of a square of side 16 is

Answer / solution

Correct option: C

4s = 64.

Q. 81क्षेत्रमिति

Area of a rectangle 16 × 7 is

Answer / solution

Correct option: A

lb = 112.

Q. 82क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 83क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 84क्षेत्रमिति

Volume of a cuboid 16×9×6 is

Answer / solution

Correct option: B

lbh = 864.

Q. 85क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 86क्षेत्रमिति

Perimeter of a square of side 12 is

Answer / solution

Correct option: D

4s = 48.

Q. 87क्षेत्रमिति

Area of a rectangle 13 × 7 is

Answer / solution

Correct option: B

lb = 91.

Q. 88क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 89क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 90क्षेत्रमिति

Volume of a cuboid 18×7×6 is

Answer / solution

Correct option: D

lbh = 756.

Q. 91क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 92क्षेत्रमिति

Perimeter of a square of side 8 is

Answer / solution

Correct option: D

4s = 32.

Q. 93क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 94क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 95क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 96क्षेत्रमिति

Volume of a cuboid 10×9×6 is

Answer / solution

Correct option: A

lbh = 540.

Q. 97क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 98क्षेत्रमिति

Perimeter of a square of side 14 is

Answer / solution

Correct option: D

4s = 56.

Q. 99क्षेत्रमिति

Area of a rectangle 16 × 7 is

Answer / solution

Correct option: A

lb = 112.

Q. 100क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 101क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 102क्षेत्रमिति

Volume of a cuboid 12×7×6 is

Answer / solution

Correct option: A

lbh = 504.

Q. 103क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 104क्षेत्रमिति

Perimeter of a square of side 10 is

Answer / solution

Correct option: C

4s = 40.

Q. 105क्षेत्रमिति

Area of a rectangle 13 × 7 is

Answer / solution

Correct option: B

lb = 91.

Q. 106क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 107क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 108क्षेत्रमिति

Volume of a cuboid 14×9×6 is

Answer / solution

Correct option: C

lbh = 756.

Q. 109क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 110क्षेत्रमिति

Perimeter of a square of side 16 is

Answer / solution

Correct option: C

4s = 64.

Q. 111क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 112क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 113क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 114क्षेत्रमिति

Volume of a cuboid 16×7×6 is

Answer / solution

Correct option: C

lbh = 672.

Q. 115क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 116क्षेत्रमिति

Perimeter of a square of side 12 is

Answer / solution

Correct option: D

4s = 48.

Q. 117क्षेत्रमिति

Area of a rectangle 16 × 7 is

Answer / solution

Correct option: A

lb = 112.

Q. 118क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 119क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 120क्षेत्रमिति

Volume of a cuboid 18×9×6 is

Answer / solution

Correct option: A

lbh = 972.

Q. 121क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 122क्षेत्रमिति

Perimeter of a square of side 8 is

Answer / solution

Correct option: D

4s = 32.

Q. 123क्षेत्रमिति

Area of a rectangle 13 × 7 is

Answer / solution

Correct option: B

lb = 91.

Q. 124क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 125क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 126क्षेत्रमिति

Volume of a cuboid 10×7×6 is

Answer / solution

Correct option: D

lbh = 420.

Q. 127क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 128क्षेत्रमिति

Perimeter of a square of side 14 is

Answer / solution

Correct option: D

4s = 56.

Q. 129क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 130क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 131क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 132क्षेत्रमिति

Volume of a cuboid 12×9×6 is

Answer / solution

Correct option: D

lbh = 648.

Q. 133क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 134क्षेत्रमिति

Perimeter of a square of side 10 is

Answer / solution

Correct option: C

4s = 40.

Q. 135क्षेत्रमिति

Area of a rectangle 16 × 7 is

Answer / solution

Correct option: A

lb = 112.

Q. 136क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 137क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 138क्षेत्रमिति

Volume of a cuboid 14×7×6 is

Answer / solution

Correct option: B

lbh = 588.

Q. 139क्षेत्रमिति

Area of a square of side 12 is

Answer / solution

Correct option: B

s² = 144.

Q. 140क्षेत्रमिति

Perimeter of a square of side 16 is

Answer / solution

Correct option: C

4s = 64.

Q. 141क्षेत्रमिति

Area of a rectangle 13 × 7 is

Answer / solution

Correct option: B

lb = 91.

Q. 142क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 143क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 144क्षेत्रमिति

Volume of a cuboid 16×9×6 is

Answer / solution

Correct option: B

lbh = 864.

Q. 145क्षेत्रमिति

Area of a square of side 6 is

Answer / solution

Correct option: D

s² = 36.

Q. 146क्षेत्रमिति

Perimeter of a square of side 12 is

Answer / solution

Correct option: D

4s = 48.

Q. 147क्षेत्रमिति

Area of a rectangle 10 × 7 is

Answer / solution

Correct option: C

lb = 70.

Q. 148क्षेत्रमिति

Area of a circle radius 7 (π=22/7) is

Answer / solution

Correct option: D

πr² = 22/7×49 = 154.

Q. 149क्षेत्रमिति

Circumference of a circle radius 14 (π=22/7) is

Answer / solution

Correct option: B

2πr = 88.

Q. 150क्षेत्रमिति

Volume of a cuboid 18×7×6 is

Answer / solution

Correct option: D

lbh = 756.

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