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6th Grade > Mathematics

MENSURATION MCQs

Total Questions : 95 | Page 7 of 10 pages
Question 61.


The area of a square of side 14 cm will be:


  1.     42 cm2
  2.     28 cm2
  3.     196 cm2
  4.     56 cm2
 Discuss Question
Answer: Option C. -> 196 cm2
:
C

Area of square = Side × Side
                      = 14 × 14
                      = 196 cm2


Question 62.


Find the cost of ploughing a rectangular farm at the rate of ₹ 12/m2 , having length equal to 12 m and width equal to 5 m.


  1.     ₹ 120
  2.     ₹ 720
  3.     ₹ 360
  4.     ₹ 240
 Discuss Question
Answer: Option B. -> ₹ 720
:
B

Area of rectangular field
= length × breadth
= 12 × 5
= 60 m2


Cost of ploughing
= Total area × cost per sq. metre 
= 60×12
=
₹ 720


Question 63.


The perimeter of a square of side 15 cm will be:


  1.     90 cm
  2.     60 cm
  3.     225 cm
  4.     34 cm
 Discuss Question
Answer: Option B. -> 60 cm
:
B

Perimeter of square = 4 × length of side
                             = 4 × 15
                             = 60 cm


Question 64.


Karan wants to cover the floor of his room with lavish tiles. His room is square in shape with sides of 6 m. The shopkeeper told him that the area of each tile is 0.5 m2. Can you tell how many tiles Karan should buy? 


  1.     108
  2.     36
  3.     72
  4.     144
 Discuss Question
Answer: Option C. -> 72
:
C

Given a square room of side = 6 m.
Area of each tile = 0.5 m2  
We know that, area of a square = Side × Side
Area of a square room
= 6 × 6 = 36 m2.


So, number of tiles required
= Area of roomArea of a single tile
= 360.5 = 72
Hence, Karan should buy 72 tiles to cover the floor of his room.


Question 65.


The area of given figure is:


The Area Of Given Figure Is:


  1.     41 sq. units
  2.     42 sq. units
  3.     24 sq. units
  4.     40 sq. units
 Discuss Question
Answer: Option B. -> 42 sq. units
:
B

The Area Of Given Figure Is:Area of the figure = Area of A + Area of B + Area of C
Area of rectangle =length×breadth


A , B & C are rectangles  
=3×6+4×(63)+2×6 
=(3×6)+(4×3)+(2×6)
= 18+12+12=42 sq. units


Question 66.


 What is Perimeter? [1 MARK]


 Discuss Question
Answer: Option B. -> 42 sq. units
:

Concept: 1 Mark
The perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once.


Question 67.


Preeti has a rectangular field that is 10 ft long and 2 ft wide and she wants to cover it with soil. One bag of soil can cover 10ft2. How many bags will she need to cover the entire field? [2 MARKS]


 Discuss Question
Answer: Option B. -> 42 sq. units
:

Steps: 1 Mark
Answer: 1 Mark
Area of the field
= 10×2
= 20ft2


Area covered by one bag of soil
=10ft2
No. of bags required
= Area of the fieldArea covered by one bag of soil=2010=2 


Hence, Preeti need 2 bags.


Question 68.


The length of a rectangular notebook is 15 cm and the perimeter is 50 cm. Find the width and area of the notebook. [2 MARKS]


 Discuss Question
Answer: Option B. -> 42 sq. units
:

Steps: 1 Mark
Answer: 1 Mark
Let the breadth of the notebook be y cm
Length = 15 cm (Given)
Perimeter = 50 cm (Given)
Perimeter of the rectangular notebook = Sum of the lengths of its four sides.


50=15+15+y+y


50=2(15+y)


25=(15+y)


y=10


The width of notebook is 10cm
Area covered by the notebook
=15cm×10cm
=150cm2


Question 69.


How many sides a pentagon have? Shakshi was playing in a park which was shaped as a pentagon. Each side of the Pentagon was 30 m. She took one complete round on its boundary. What is the distance covered by her? [3 MARKS]


 Discuss Question
Answer: Option B. -> 42 sq. units
:

Pentagon: 1 Mark
Steps: 1 Mark
Answer: 1 Mark
Pentagon has 5 sides.
How Many Sides A Pentagon Have? Shakshi Was Playing In A Pa...
Given that each side of the pentagon =30m
The perimeter of a regular pentagon
= 5× length of each side
= 5×30
= 150m
Hence, the distance covered by Shakshi is 150m.


Question 70.


Jose wants new a carpet for his living room. His living room is 9m × 9m. If the carpet cost is Rs 12 per square metre, what is the cost of the carpet? [3 MARKS]


 Discuss Question
Answer: Option B. -> 42 sq. units
:

Steps: 1 Mark
Formula: 1 Mark
Answer: 1 Mark
Area of the living room
= length × breadth = 9m×9m=81m2
The cost per m2  = 12
Cost for 81m2=12×81=972


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