#### Chapters

## Chapter 7: Mensuration

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

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

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

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 m^{2}

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

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

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.

Find the area of the unshaded region

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

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

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.

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

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

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 m^{2}.

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 m^{2}

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

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

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

If the total surface area of a cube is 2400 cm^{2} then, find its lateral surface area

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 m^{2}

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

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

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

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

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

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

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

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?

The volume of a container is 1440 m^{3}. The length and breadth of the container are 15 m and 8 m respectively. Find its height

Find the volume of a cube whose side is 5 cm

Find the volume of a cube whose side is 3.5 m

Find the volume of a cube whose side is 21 cm

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

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

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

#### Multiple choice questions

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

60 cm

45 cm

30 cm

15 cm

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

3 cm

^{2}6 cm

^{2}9 cm

^{2}12 cm

^{2}

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`

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

144 cm

^{2}196 cm

^{2}576 cm

^{2}664 cm

^{2}

If the lateral surface area of a cube is 600 cm^{2}, then the total surface area is

150 cm

^{2 }400 cm

^{2 }900 cm

^{2 }1350 cm

^{2 }

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

280 cm

^{2}300 cm

^{2}360 cm

^{2}600 cm

^{2}

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

The volume of a cuboid is 660 cm^{3} and the area of the base is 33 cm^{2}. Its height is

10 cm

12 cm

20 cm

22 cm

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

75 litres

750 litres

7500 litres

75000 litres

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

## Chapter 7: Mensuration

## 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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