Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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# Samacheer Kalvi solutions for Mathematics Class 9th Tamil Nadu State Board chapter 7 - Mensuration [Latest edition]

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#### Chapters ## Chapter 7: Mensuration

Exercise 7.1Exercise 7.2Exercise 7.3Exercise 7.4
Exercise 7.1 [Pages 252 - 253]

### Samacheer Kalvi solutions for Mathematics Class 9th Tamil Nadu State Board Chapter 7 Mensuration Exercise 7.1 [Pages 252 - 253]

Exercise 7.1 | Q 1. (i) | Page 252

Using Heron’s formula, find the area of a triangle whose sides are 10 cm, 24 cm, 26 cm

Exercise 7.1 | Q 1. (ii) | Page 252

Using Heron’s formula, find the area of a triangle whose sides are 1.8 m, 8 m, 8.2 m

Exercise 7.1 | Q 2 | Page 252

The sides of the triangular ground are 22 m, 120 m and 122 m. Find the area and cost of levelling the ground at the rate of ₹ 20 per m2

Exercise 7.1 | Q 3 | Page 252

The perimeter of a triangular plot is 600 m. If the sides are in the ratio 5 : 12 : 13, then find the area of the plot

Exercise 7.1 | Q 4 | Page 252

Find the area of an equilateral triangle whose perimeter is 180 cm

Exercise 7.1 | Q 5 | Page 252

An advertisement board is in the form of an isosceles triangle with perimeter 36 m and each of the equal sides are 13 m. Find the cost of painting it at ₹ 17.50 per square metre.

Exercise 7.1 | Q 6 | Page 252

Find the area of the unshaded region Exercise 7.1 | Q 7 | Page 253

Find the area of a quadrilateral ABCD whose sides are AB = 13 cm, BC = 12 cm, CD = 9 cm, AD = 14 cm and diagonal BD = 15 cm

Exercise 7.1 | Q 8 | Page 253

A park is in the shape of a quadrilateral. The sides of the park are 15 m, 20 m, 26 m and 17 m and the angle between the first two sides is a right angle. Find the area of the park

Exercise 7.1 | Q 9 | Page 253

A land is in the shape of rhombus. The perimeter of the land is 160 m and one of the diagonal is 48 m. Find the area of the land.

Exercise 7.1 | Q 10 | Page 253

The adjacent sides of a parallelogram measures 34 m, 20 m and the measure of the diagonal is 42 m. Find the area of parallelogram

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Exercise 7.2 [Page 257]

### Samacheer Kalvi solutions for Mathematics Class 9th Tamil Nadu State Board Chapter 7 Mensuration Exercise 7.2 [Page 257]

Exercise 7.2 | Q 1 | Page 257

Find the Total Surface Area and the Lateral Surface Area of a cuboid whose dimensions are: length = 20 cm, breadth = 15 cm, height = 8 cm

Exercise 7.2 | Q 2 | Page 257

The dimensions of a cuboidal box are 6 m × 400 cm × 1.5 m. Find the cost of painting its entire outer surface at the rate of ₹ 22 per m2.

Exercise 7.2 | Q 3 | Page 257

The dimensions of a hall is 10 m × 9 m × 8 m. Find the cost of white washing the walls and ceiling at the rate of ₹ 8.50 per m2

Exercise 7.2 | Q 4. (i) | Page 257

Find the T.S.A and L.S.A of the cube whose side is 8 m

Exercise 7.2 | Q 4. (ii) | Page 257

Find the T.S.A and L.S.A of the cube whose side is 21 cm

Exercise 7.2 | Q 4. (iii) | Page 257

Find the T.S.A and L.S.A of the cube whose side is 7.5 cm

Exercise 7.2 | Q 5 | Page 257

If the total surface area of a cube is 2400 cm2 then, find its lateral surface area

Exercise 7.2 | Q 6 | Page 257

A cubical container of side 6.5 m is to be painted on the entire outer surface. Find the area to be painted and the total cost of painting it at the rate of ₹ 24 per m2

Exercise 7.2 | Q 7 | Page 257

Three identical cubes of side 4 cm are joined end to end. Find the total surface area and lateral surface area of the new resulting cuboid

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Exercise 7.3 [Page 263]

### Samacheer Kalvi solutions for Mathematics Class 9th Tamil Nadu State Board Chapter 7 Mensuration Exercise 7.3 [Page 263]

Exercise 7.3 | Q 1. (i) | Page 263

Find the volume of a cuboid whose dimensions are length = 12 cm, breadth = 8 cm, height = 6 cm

Exercise 7.3 | Q 1. (ii) | Page 263

Find the volume of a cuboid whose dimensions are length = 60 m, breadth = 25 m, height = 1.5 m

Exercise 7.3 | Q 2 | Page 263

The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes

Exercise 7.3 | Q 3 | Page 263

The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm3, then find its dimensions

Exercise 7.3 | Q 4 | Page 263

The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres

Exercise 7.3 | Q 5 | Page 263

The dimensions of a brick are 24 cm × 12 cm × 8 cm. How many such bricks will be required to build a wall of 20 m length, 48 cm breadth and 6 m height?

Exercise 7.3 | Q 6 | Page 263

The volume of a container is 1440 m3. The length and breadth of the container are 15 m and 8 m respectively. Find its height

Exercise 7.3 | Q 7. (i) | Page 263

Find the volume of a cube whose side is 5 cm

Exercise 7.3 | Q 7. (ii) | Page 263

Find the volume of a cube whose side is 3.5 m

Exercise 7.3 | Q 7. (iii) | Page 263

Find the volume of a cube whose side is 21 cm

Exercise 7.3 | Q 8 | Page 263

A cubical milk tank can hold 125000 litres of milk. Find the length of its side in metres

Exercise 7.3 | Q 9 | Page 263

A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid

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Exercise 7.4 [Pages 263 - 264]

### Samacheer Kalvi solutions for Mathematics Class 9th Tamil Nadu State Board Chapter 7 Mensuration Exercise 7.4 [Pages 263 - 264]

#### Multiple choice questions

Exercise 7.4 | Q 1 | Page 263

The semi-perimeter of a triangle having sides 15 cm, 20 cm and 25 cm is

• 60 cm

• 45 cm

• 30 cm

• 15 cm

Exercise 7.4 | Q 2 | Page 263

If the sides of a triangle are 3 cm, 4 cm and 5 cm, then the area is

• 3 cm2

• 6 cm2

• 9 cm2

• 12 cm2

Exercise 7.4 | Q 3 | Page 263

The perimeter of an equilateral triangle is 30 cm. The area is

• 10sqrt(3)  "cm"^2

• 12sqrt(3)  "cm"^2

• 15sqrt(3)  "cm"^2

• 25sqrt(3)  "cm"^2

Exercise 7.4 | Q 4 | Page 263

The lateral surface area of a cube of side 12 cm is

• 144 cm2

• 196 cm2

• 576 cm2

• 664 cm2

Exercise 7.4 | Q 5 | Page 264

If the lateral surface area of a cube is 600 cm2, then the total surface area is

• 150 cm

• 400 cm

• 900 cm

• 1350 cm

Exercise 7.4 | Q 6 | Page 264

The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm is

• 280 cm2

• 300 cm2

• 360 cm2

• 600 cm2

Exercise 7.4 | Q 7 | Page 264

If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be

• 4 : 6

• 4 : 9

• 6 : 9

• 16 : 36

Exercise 7.4 | Q 8 | Page 264

The volume of a cuboid is 660 cm3 and the area of the base is 33 cm2. Its height is

• 10 cm

• 12 cm

• 20 cm

• 22 cm

Exercise 7.4 | Q 9 | Page 264

The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is

• 75 litres

• 750 litres

• 7500 litres

• 75000 litres

Exercise 7.4 | Q 10 | Page 264

The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is

• 1000

• 2000

• 3000

• 5000

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## Chapter 7: Mensuration

Exercise 7.1Exercise 7.2Exercise 7.3Exercise 7.4 ## Samacheer Kalvi solutions for Mathematics Class 9th Tamil Nadu State Board chapter 7 - Mensuration

Samacheer Kalvi solutions for Mathematics Class 9th Tamil Nadu State Board chapter 7 (Mensuration) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Class 9th Tamil Nadu State Board solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics Class 9th Tamil Nadu State Board chapter 7 Mensuration are Mensuration, Area of a Triangle, Area of a Triangle by Heron's Formula, Application of Heron’s Formula in Finding Areas of Quadrilaterals, Surface Area of a Cuboid, Surface Area of a Cube, Volume of a Cuboid, Volume of Cube.

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Get the free view of chapter 7 Mensuration Class 9th extra questions for Mathematics Class 9th Tamil Nadu State Board and can use Shaalaa.com to keep it handy for your exam preparation

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