# Important Questions for CBSE Class 6 Maths Chapter 10 - Mensuration

## CBSE Class 6 Maths Important Questions Chapter 10 - Mensuration - Free PDF Download

**Ch-10 Mensuration**

- The side of a square is 12 m. Its perimeter is
- 144 m
- 48 m
- 24 m
- 36 m

- The shape of your class room blackboard is
- circle
- equilateral triangle
- square
- rectangle

- Which figure encloses more area: a square of side 2 cm ; a rectangle of side 3 cm and 2 cm ;An equilateral triangle of side 4 cm?
- None of these
- square
- equilateral triangle
- rectangle

- The perimeter of the given figure is

- 70 cm
- None of these
- 60 cm
- 100 cm

- The area of square is 100 $\text{c}{\text{m}}^{\text{2}}$. Its side is
- 5 cm
- 10 cm
- 20 cm
- 10.5 cm

**Match the following:-**Shapes Perimeter a. i. 15 b. ii. 8 c. iii. 24 d. iv. 12 **Fill in the blanks:-**- _____ is a rectangle whose all sides are equal.
- The amount of surface enclosed by a figure is called its ____.
- For fencing the plot, we need to calculate its _____.
- _____ is the sum of all sides.

**State True or False:-**- For tiling a rectangular Plot, we must calculate its area.
- Length and breadth of a Rectangle are 1.5m and 1m. Area is 1.5m
^{2}. - The Perimeter of a square is 4 times the length of the side.
- To find the length of fencing the square playground we must find its Perimeter.

- Find the area of the rectangle whose side are :3 cm and 4 cm
- Find the area of the rectangle whose side are :12 m and 21 m
Find the perimeter of each of the following figures given below?

- Find the perimeter of the following figure?

- Find the perimeter of the following figure given below.

- Find the area of the following figure:

- The length of rectangle is thrice its breadth and its perimeter is 48cm. Find length and breadth of rectangle.

**Answer**

- (b) 48 m, Explanation: Perimeter of square = $4l$

here length = 12 m

so, the perimeter = 4 * 12

= 48 m

- (b) 48 m, Explanation: Perimeter of square = $4l$
- (d) rectangle, Explanation: Shape of the blackboard in class room is rectangle as the length of the blackboard is more than the breadth it.

- (c) equilateral triangle, Explanation: Area of square = $l\times l$ , when l = 2 cm , Area = 4 cm
^{2}

Area of rectangle = $l\times b$ , when l = 3 cm and b = 2 cm , Area =$3\times 2$ = 6 cm^{2}

Area of an equilateral triangle =$(\sqrt{3}/4){a}^{2}$ , when a = 4 cm , Area = 6.93 cm^{2}

so, the area of eqilateral traiangle is more

- (c) equilateral triangle, Explanation: Area of square = $l\times l$ , when l = 2 cm , Area = 4 cm
- (d) 100 cm, Explanation: Perimeter means addition of all sides.

So Perimeter of given triangle = 30 + 30 + 40 = 100 cm

- (d) 100 cm, Explanation: Perimeter means addition of all sides.
- (b) 10 cm, Explanation: Area of square = $l\ast l$ here area = 100 $\text{c}{\text{m}}^{\text{2}}$ so the lenght is = $l=\sqrt{1}00$ length = 10 cm

- $\to $ iii
- $\to $ iv
- $\to $ i
- $\to $ ii

- Square
- area
- Perimeter
- Perimeter

- True
- True
- True
- True

- Area of the rectangle = Length × Breadth = 3 × 4 cm = 12 sq cm
- Area of the rectangle = Length × Breadth = 12 m × 21 m = 252 sq m
- Perimeter = 3 cm + 3 cm + 3 cm + 3 cm + 3 cm

= 15 cm - Perimeter = 1 cm + 4 cm + 0.5 cm + 2.5 cm + 2.5 cm + 0.5 cm + 4 cm

= 15 cm - Perimeter = 1 cm + 3 cm + 2 cm + 3 cm + 4 cm + 1 cm + 3 cm + 2 cm + 3 cm + 4 cm + 1 cm + 3 cm + 2 cm + 3 cm + 4 cm + 1 cm + 3 cm + 2 cm + 3 cm + 4 cm

= 52 cm

- Perimeter = 3 cm + 3 cm + 3 cm + 3 cm + 3 cm
- Perimeter

= AB + BC + CD + DE + EF + FG + GH + HI + IJ + JK + KL + LA

= 1 cm + 3 cm + 3 cm + 1 cm + 3 cm + 3 cm + 1 cm + 3 cm + 3 cm + 1 cm + 3 cm + 3 cm

= 28 cm - Perimeter

= AB + BC + CD + DA

= 5 cm + 5 cm + 5 cm + 5 cm = 20 cm - Full-filled squares = 2

half-filled squares = 4

Area covered by full squares = 2 $\times $ 1 sq unit = 2 sq units

Area covered by half squares = 4 $\times $ $\frac{1}{2}$ sq unit = 2 sq units

$\therefore $ Total Area = 2 sq units + 2 sq units = 4 sq units - Let the breadth of rectangle = b

length of rectangle = 3b

Perimeter of rectangle $=2\times (3b+b)$

$48=2\times (3b+b)$

$\frac{48}{2}=4b$

24 = 4b

$\frac{24}{4}=b$

$\Rightarrow 6=b$ breadth = 6cm

length = 3b $=3\times b=18cm$