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6th Grade > Mathematics

MENSURATION MCQs

Total Questions : 95 | Page 9 of 10 pages
Question 81.


The area of the rectangle with length 11 cm and width equal to half its length will be


  1.     22 cm2
  2.     33 cm2
  3.     60.5 cm
  4.     60.5 cm2
 Discuss Question
Answer: Option D. -> 60.5 cm2
:
D

Width of rectangle = 112 cm
Area of rectangle= length × Width
112×11
= 60.5  cm2


Question 82.


Find the perimeter of the following figure (all measurements are in mm):


Find The Perimeter Of The Following Figure (all Measurements...


  1.     128.82 mm
  2.     26.72 cm
  3.     27.72 mm
  4.     27.72 cm
 Discuss Question
Answer: Option C. -> 27.72 mm
:
C

Perimeter = Sum of lengths of all sides
Perimeter of the given figure = 4.3 mm + 1.52 mm + 5.4 mm + 9.2 mm + 3.1 mm + 4.2 mm
= 27.72 mm


Question 83.


Calculate the perimeter of the given figure -


Calculate The Perimeter Of The Given Figure -


  1.     29.2 cm
  2.     35.6 cm
  3.     30 cm
  4.     28.4 cm
 Discuss Question
Answer: Option B. -> 35.6 cm
:
B

Calculate The Perimeter Of The Given Figure -
In the given figure, sides FE and ED are unknown.
Now, FE + GH + CD = AB = 5.6 cm 
1.2 + 0.8 + FE = 5.6
FE = 3.6 cm
GF = ED = 5.8 cm and AH = BC = 6.4  cm 


Perimeter of the figure is sum of all sides
= HG + GF + FE + ED + DC + CB + BA + AH 
= 1.2 cm + 5.8  cm + 3.6  cm + 5.8  cm + 0.8  cm + 6.4  cm + 5.6  cm + 6.4  cm 
= 35.6 cm 


Question 84.


The area of a rectangular piece of a board is 36 cm2. If the length is 4 cm, what is the width of the board?


  1.     26 cm
  2.     4 cm
  3.     9 cm
  4.     12 cm
 Discuss Question
Answer: Option C. -> 9 cm
:
C

Area of rectangle = length × breadth


36 = 4 × breadth


364 = breadth


 breadth = 9 cm


Question 85.


There is a square plot with side length equal to 13 m. A farmer wanted to grow grass on half his field and plough the remaining land. Find the area of land used to grow the grass.


  1.     84.5 m2
  2.     169 m2
  3.     52 m2
  4.     84.5 m
 Discuss Question
Answer: Option A. -> 84.5 m2
:
A

Given, side of the square plot = 13 m
We know that, area of a square = Side x Side
So, total area of a square
= Side × Side
= 13 x 13 = 169
m2


Area on which grass is grown = Half of the total area
= 1692 = 84.5 m2


Question 86.


The idea of perimeter plays an important for ____.


  1.     a farmer who wants to fence his land
  2.     a farmer who wants to plough his land
  3.     a farmer who wants to excavate his land
  4.     a farmer who wants to water his land
 Discuss Question
Answer: Option A. -> a farmer who wants to fence his land
:
A

In order to fence a land, a farmer needs the total length of the boundary which is given by the perimeter.


For ploughing and watering the land, a farmer needs the area of the field, and for excavating the land the farmer will need the volume of the soil excavated.


Question 87.


Which of the following is not the unit of area?


  1.     m2
  2.     cm2
  3.     km2
  4.     m3
 Discuss Question
Answer: Option D. -> m3
:
D

Among the given options, m2, cm2 and km2 are all units of area while m3 is a unit of volume.
Hence, m3 is not a unit of area.


Question 88.


The amount of surface enclosed by a closed figure is called its _____.


  1.     perimeter
  2.     area
  3.     volume
  4.     height
 Discuss Question
Answer: Option B. -> area
:
B

The amount of surface enclosed by a closed figure is called its area. An area expresses the extent of a two-dimensional figure.


Question 89.


A piece of square land has a perimeter equal to 20 m. A cow is standing in the middle of the square land as shown in the figure. What is the minimum distance the cow has to travel in order to go out of the field and drink water?


A Piece Of Square Land Has a perimeter Equal To 20 M. A C...


  1.     5 m
  2.     2.5 m
  3.     4 m
  4.     20 m
 Discuss Question
Answer: Option B. -> 2.5 m
:
B

Given, perimeter of a square land = 20 m
Perimeter of a square = 4 × Side of the square
20 = 4 × side
 Side = 204
             = 5 m
Cow is standing at centre of the square, in order to go out it has to travel the length equal to half of the side =52
        = 2.5 m


Question 90.


The length of a rectangle is 10 cm and width is 7 cm. What will be the area of a rectangle formed by joining 12 such rectangles?


  1.     840 cm2
  2.     70 cm
  3.     680 cm2
  4.     460 cm
 Discuss Question
Answer: Option A. -> 840 cm2
:
A

Area of a rectangle = Length × Breadth
                                =10×7
                                =70 cm2
When we join several figures, the area of the figure formed is the sum of areas of the figures joined.
Hence, area of the larger rectangle
=12×70
=840 cm2


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