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All questions of Mensuration for Class 6 Exam
What is the perimeter of an isosceles triangles with equal sides 8.5cm each and third side 7cm?- a)12 cm
- b)24 cm
- c)13 cm
- d)26 cm
Correct answer is option 'B'. Can you explain this answer?
What is the perimeter of an isosceles triangles with equal sides 8.5cm each and third side 7cm?
a)
12 cm
b)
24 cm
c)
13 cm
d)
26 cm
|
Devansh Singh answered |
Perimeter of isosceles triangle
= 8.5 + 8.5 + 7 = 24 cm
= 8.5 + 8.5 + 7 = 24 cm
If a wire of length 267 cm be bent to form an equilateral triangle, then what is the length of side of the equilateral triangle?- a)69 cm
- b)79 cm
- c)89 cm
- d)99 cm
Correct answer is option 'C'. Can you explain this answer?
If a wire of length 267 cm be bent to form an equilateral triangle, then what is the length of side of the equilateral triangle?
a)
69 cm
b)
79 cm
c)
89 cm
d)
99 cm
|
Subham Verma answered |
If x is required length then
x + x + x = 267
3x = 267 ⇒
x + x + x = 267
3x = 267 ⇒
The total cost of flooring a room at Rs 85/m2 is Rs 5100. If the length of the room is 8m, then what is its width?- a)6.5 m
- b)7.5 m
- c)8.5 m
- d)8 m
Correct answer is option 'B'. Can you explain this answer?
The total cost of flooring a room at Rs 85/m2 is Rs 5100. If the length of the room is 8m, then what is its width?
a)
6.5 m
b)
7.5 m
c)
8.5 m
d)
8 m
|
Abhijeet Choudhary answered |
Area of the room = 
If b is its width then
l × b = 60
If b is its width then
l × b = 60
The area of a rectangle is 630 cm2 and its length is 35cm, what is its perimeter?- a)102 cm
- b)104 cm
- c)106 cm
- d)108 cm
Correct answer is option 'C'. Can you explain this answer?
The area of a rectangle is 630 cm2 and its length is 35cm, what is its perimeter?
a)
102 cm
b)
104 cm
c)
106 cm
d)
108 cm
|
Maheshwar Kumar answered |
If b is breadth of rectangle then
Perimeter = 2 (l + b) = 2 (35 + 18)
= 2 × 53 = 106 cm
Perimeter = 2 (l + b) = 2 (35 + 18)
= 2 × 53 = 106 cm
What is the radius of the circle whose circumference is 264 cm?- a)36 cm
- b)42cm
- c)46 cm
- d)48 cm
Correct answer is option 'B'. Can you explain this answer?
What is the radius of the circle whose circumference is 264 cm?
a)
36 cm
b)
42cm
c)
46 cm
d)
48 cm
|
|
Subham Verma answered |
Given,
2π r = 264 where r is radius
2π r = 264 where r is radius
The area of a square is 2401 cm2. What is its perimeter?- a)184 cm
- b)192 cm
- c)196 cm
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The area of a square is 2401 cm2. What is its perimeter?
a)
184 cm
b)
192 cm
c)
196 cm
d)
None of these
|
Bibek Verma answered |
Solution:
Given, the area of a square is 2401 cm^2.
To find the perimeter of the square, we need to know the length of its sides.
Let's assume the length of each side of the square is 'a' cm.
Finding the length of sides:
We know that the area of a square is given by the formula: area = side^2.
So, we can write the equation as:
2401 = a^2
Taking the square root on both sides of the equation, we get:
√2401 = √(a^2)
Simplifying, we get:
49 = a
So, the length of each side of the square is 49 cm.
Finding the perimeter of the square:
The perimeter of a square is given by the formula: perimeter = 4 * side.
Substituting the value of 'a' as 49 cm, we can calculate the perimeter as:
perimeter = 4 * 49
perimeter = 196 cm
Therefore, the perimeter of the square is 196 cm.
Hence, the correct answer is option C) 196 cm.
Given, the area of a square is 2401 cm^2.
To find the perimeter of the square, we need to know the length of its sides.
Let's assume the length of each side of the square is 'a' cm.
Finding the length of sides:
We know that the area of a square is given by the formula: area = side^2.
So, we can write the equation as:
2401 = a^2
Taking the square root on both sides of the equation, we get:
√2401 = √(a^2)
Simplifying, we get:
49 = a
So, the length of each side of the square is 49 cm.
Finding the perimeter of the square:
The perimeter of a square is given by the formula: perimeter = 4 * side.
Substituting the value of 'a' as 49 cm, we can calculate the perimeter as:
perimeter = 4 * 49
perimeter = 196 cm
Therefore, the perimeter of the square is 196 cm.
Hence, the correct answer is option C) 196 cm.
A floor is 7m long and 5m wide. A square carpet of sides 4m is laid on the floor. What is the area of floor that is not carpeted?- a)15 m2
- b)18 m2
- c)17 m2
- d)19 m2
Correct answer is option 'D'. Can you explain this answer?
A floor is 7m long and 5m wide. A square carpet of sides 4m is laid on the floor. What is the area of floor that is not carpeted?
a)
15 m2
b)
18 m2
c)
17 m2
d)
19 m2
|
Pragati Das answered |
Area of floor = 7 × 5 = 35 m2
Area of carpet = 4 × 4 = 16 m2
Remaining part = 35 – 16 = 19 m2
Area of carpet = 4 × 4 = 16 m2
Remaining part = 35 – 16 = 19 m2
The area of a rectangle is 540 cm2. Its length is 36cm, what is its perimeter?- a)92 cm
- b)102 cm
- c)112 cm
- d)118 cm
Correct answer is option 'B'. Can you explain this answer?
The area of a rectangle is 540 cm2. Its length is 36cm, what is its perimeter?
a)
92 cm
b)
102 cm
c)
112 cm
d)
118 cm
|
Anjali Yadav answered |
Breadth of rectangle
∴ Perimeter of rectangle = 2 ( 36 + 15)
= 2 × 51 = 102 cm.
∴ Perimeter of rectangle = 2 ( 36 + 15)
= 2 × 51 = 102 cm.
Five flower beds each of side 3cm are dug on a piece of land 17cm long and 5cm wide. What is the area of remaining part of the land?
- a)35 cm2
- b)40 cm2
- c)25 cm2
- d)30 cm2
Correct answer is option 'B'. Can you explain this answer?
Five flower beds each of side 3cm are dug on a piece of land 17cm long and 5cm wide. What is the area of remaining part of the land?
a)
35 cm2
b)
40 cm2
c)
25 cm2
d)
30 cm2
|
Vandana Nair answered |
Area of one flower bed = 3 × 3 = 9 cm2
Area of five flower beds = 9 × 5 = 45 cm2
Area of rectangular field = 17 × 5 = 85 cm2
Area of remaining part = 85 – 45 = 40 cm2
Area of five flower beds = 9 × 5 = 45 cm2
Area of rectangular field = 17 × 5 = 85 cm2
Area of remaining part = 85 – 45 = 40 cm2
What is the perimeter of regular hexagon having each side 6.5 cm?- a)39 cm
- b)38 cm
- c)42 cm
- d)46 cm
Correct answer is option 'A'. Can you explain this answer?
What is the perimeter of regular hexagon having each side 6.5 cm?
a)
39 cm
b)
38 cm
c)
42 cm
d)
46 cm
|
Aaditya Chawla answered |
To find the perimeter of a regular hexagon, we need to know the length of one side. In this case, the length of each side is given as 6.5 cm.
Perimeter of a Hexagon:
A regular hexagon has six equal sides. The perimeter of a regular hexagon is calculated by multiplying the length of one side by 6.
Perimeter = Length of one side × 6
Given that the length of one side is 6.5 cm, we can substitute this value into the formula to find the perimeter.
Perimeter = 6.5 cm × 6
Calculating the Perimeter:
To calculate the perimeter, we can multiply 6.5 cm by 6.
Perimeter = 6.5 cm × 6
Perimeter = 39 cm
Therefore, the perimeter of the regular hexagon with each side measuring 6.5 cm is 39 cm.
Perimeter of a Hexagon:
A regular hexagon has six equal sides. The perimeter of a regular hexagon is calculated by multiplying the length of one side by 6.
Perimeter = Length of one side × 6
Given that the length of one side is 6.5 cm, we can substitute this value into the formula to find the perimeter.
Perimeter = 6.5 cm × 6
Calculating the Perimeter:
To calculate the perimeter, we can multiply 6.5 cm by 6.
Perimeter = 6.5 cm × 6
Perimeter = 39 cm
Therefore, the perimeter of the regular hexagon with each side measuring 6.5 cm is 39 cm.
What is the diameter of the circle whose circumference is 66 cm?- a)18 cm
- b)21 cm
- c)23 cm
- d)28 cm
Correct answer is option 'B'. Can you explain this answer?
What is the diameter of the circle whose circumference is 66 cm?
a)
18 cm
b)
21 cm
c)
23 cm
d)
28 cm
|
|
Pragati Das answered |
Circumference of circle = 66
2πr = 66 where r is radius
2πr = 66 where r is radius
The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?- a)36 m
- b)24 m
- c)32 m
- d)28 m
Correct answer is option 'C'. Can you explain this answer?
The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?
a)
36 m
b)
24 m
c)
32 m
d)
28 m
|
|
Vandana Nair answered |
Here, Perimeter 
If l and b are its length and breadth, then
⇒ 2(l + b) = 110
⇒ 2(l + 23) = 110
⇒ l + 23 = 55 ⇒ l = 55 - 23 = 32m
If l and b are its length and breadth, then
⇒ 2(l + b) = 110
⇒ 2(l + 23) = 110
⇒ l + 23 = 55 ⇒ l = 55 - 23 = 32m
Mohit runs a distance of 7km 800m in going round a rectangular ground three times. What is the length of the ground if its width is 330m?- a)670 m
- b)770 m
- c)870 m
- d)970 m
Correct answer is option 'D'. Can you explain this answer?
Mohit runs a distance of 7km 800m in going round a rectangular ground three times. What is the length of the ground if its width is 330m?
a)
670 m
b)
770 m
c)
870 m
d)
970 m
|
|
Pragati Das answered |
Here, 3 × perimeter of rectangular ground = 7800 m
⇒ 3 [2 (l + b)] = 7800
⇒ 3 [2 (l + b)] = 7800
The diagonal of a square is 8√2 cm what is its perimeter?- a)32 cm
- b)64 cm
- c)36 cm
- d)42 cm
Correct answer is option 'A'. Can you explain this answer?
The diagonal of a square is 8√2 cm what is its perimeter?
a)
32 cm
b)
64 cm
c)
36 cm
d)
42 cm
|
|
Abhijeet Choudhary answered |
Area of square 
= 64
∴ Side of square = 8 cm
Hence, perimeter of square
= 4 × 8 = 32 cm
= 64
∴ Side of square = 8 cm
Hence, perimeter of square
= 4 × 8 = 32 cm
The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel 1.65km? - a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel 1.65km?
a)
b)
c)
d)
|
|
Devansh Singh answered |
Circumference of wheel of car
∴ Required no. of revolutions
∴ Required no. of revolutions
The perimeter of the given figure is 37 cm. find the missing value.
- a)10 cm
- b)11 cm
- c)12 cm
- d)13 cm
Correct answer is option 'B'. Can you explain this answer?
The perimeter of the given figure is 37 cm. find the missing value.
a)
10 cm
b)
11 cm
c)
12 cm
d)
13 cm
|
|
Maheshwar Kumar answered |
Missing value = 37 – (5 + 4 + 17)
= 37 – 26 = 11 cm
= 37 – 26 = 11 cm
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