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6th Grade > Mathematics

MENSURATION MCQs

Total Questions : 95 | Page 8 of 10 pages
Question 71.


If the cost of painting is Rs 250 per km, then what is the cost for painting the boundary of an equilateral triangle shaped garden having its sides as 4 km also find the area of the garden if its height is 3.46 km  [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 2 Marks
Formula: 1 Mark
Answer: 1 Mark
The perimeter of an equilateral triangle:
= 3 × length of a side.

 


The total distance to be painted:
= 3 × 4 = 12 km        

 


Hence, the total cost for painting:
= 250 × 12
= Rs 3000
Area of the garden
= 12× base × height.
= 12×42×3.46
= 3.46 km2


Question 72.


Find the perimeter of the following figure. [3 MARKS]


Find The Perimeter Of The Following Figure. [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 2 Marks
Answer: 1 Mark
Find The Perimeter Of The Following Figure. [3 MARKS]
Perimeter of the figure will be:


= 3 cm + 6 cm + 3 cm + 3 cm + 10 cm + 3 cm + 2 cm + 3 cm + 2 cm + 3 cm 
(Starting from the topmost edge and going clockwise)
=38cm


Question 73.


The area of a square field is 576m2. Find  [4 MARKS]
(i) The length of its sides
(ii) The length of its perimeter
(iii) Cost of fixing a fence along the boundary of the field at the rate of Rs 3.20 per metre.


 Discuss Question
Answer: Option A. ->
:
Steps: 2 Marks
Formula: 1 Mark
Answer: 1 Mark
(i) Let l be the length of the square
Area of square = l2
l2=576
l=24 m
(ii) Perimeter of square = 4l
4×(24)=96 m
(iii)  Cost of fixing a fence
=(96×3.20)=307.20
Question 74.


Find the area of the figure given below (in sq. inches).  [4 MARKS]


Find The Area Of The Figure Given Below (in Sq. Inches).  [...


 Discuss Question
Answer: Option A. ->
:

Steps: 2 Marks
Formula: 1 Mark
Answer: 1 Mark
The area of the figure can be calculated in three steps:


i) Find the area of the small rectangle.


ii) Find the area of the large rectangle.


iii) Find the area of the triangle


 


i) Area of the small rectangle:
= length × breadth
= 5 × 6
= 30 inches2
 


ii) Area of the large rectangle:
= 12 × 4
= 48 inches2
 


iii) Area of the triangle:
= 12× (height × base)
= 12× 4 × 3 = 6 inches2


Area of the shape = Area of the small rectangle + Area of the large rectangle + Area of the triangle
= (30 + 48 + 6) inches2= 84 inches2


Question 75.


Area of a rectangular carpet is 18m2 and its length is 3 m. Find: [4 MARKS]
(a) The breadth of the carpet.
(b) The perimeter of the carpet.


 Discuss Question
Answer: Option A. ->
:

Each Option: 2 Marks
(a) Area of a rectangular garden:
= length × breadth = 18
= 3 × breadth


breadth = 183
= 6 m
(b) Perimeter = 2 × (length + breadth)
= 2 × (3+6) = 18m2


Question 76.


The given figure is a combination of


The Given Figure Is A Combination Of


  1.     a square and a triangle.
  2.     a triangle and a hexagon.
  3.     a triangle and a pentagon.
  4.     a pentagon and a square.
 Discuss Question
Answer: Option C. -> a triangle and a pentagon.
:
C

The given figure has two parts, the lower part is a triangle and the upper part is a pentagon.


Question 77.


Which of the following options correctly describes the given figure?


Which Of The Following Options Correctly Describes The Given...


  1.     It is a regular figure.
  2.     It is closed.
  3.     Number of sides can be found out.
  4.     It is an open figure.
 Discuss Question
Answer: Option B. -> It is closed.
:
B

Given figure is an irregular figure, for which the number of sides cannot be found out. The figure is also a closed one.


Question 78.


How many sides we have to cover in order to make a complete round of the given figure?


How Many Sides We Have To Cover In Order To Make A Complete ...


  1.     4
  2.     14
  3.     12
  4.     10
 Discuss Question
Answer: Option C. -> 12
:
C

The given figure has a total of 12 sides (AB, BC, CD, DE, EF, FG, GH, HI, IJ, JK, KL and LA). In order to complete a full round, one should reach the same corner one started from. So, we have to cover 12 sides.


Question 79.


The perimeter of a square is ___ times the length of its side.


 Discuss Question
Answer: Option C. -> 12
:

The perimeter is the total length of the boundary of the closed figure. For a square, it is basically the sum of all the sides and in a square, all sides are equal. So, the perimeter is 4 x sides.


Question 80.


The sum of all the sides of a closed figure is called its ___.


 Discuss Question
Answer: Option C. -> 12
:

The sum of all the sides of a closed figure is termed its perimeter.


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