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5th Grade > Mathematics

PERIMETER AREA AND VOLUME MCQs

Total Questions : 40 | Page 4 of 4 pages
Question 31.


Volume of a rectangular prism (cuboid) is:
 


  1.     length × breadth
  2.     length + breadth
  3.     length × breadth × height
  4.     2 (length + breadth)
 Discuss Question
Answer: Option C. -> length × breadth × height
:
C

Volume Of A rectangular prism (cuboid) Is: 
Volume of a rectangular prism (cuboid) = length × breadth × height


Question 32.


 Perimeter of an irregular polygon is:


  1.     Sum of length of all the sides.
  2.     Product of length of all the sides.
  3.     Twice the sum of length of all the sides.
  4.     Half of the sum of length of all the sides.
 Discuss Question
Answer: Option A. -> Sum of length of all the sides.
:
A
Perimeter of an irregular polygon is the sum of length of all the sides.
For the irregular polygon given below,
the perimeter is 4 cm + 9 cm + 10 cm + 8 cm which is equal to 31 cm.
 Perimeter Of An Irregular Polygon is:
Question 33.


The perimeter of the figure given below is 15 cm. Find the length of the third side.
The Perimeter Of the Figure Given Below Is 15 Cm. Find The ...


  1.     6 cm
  2.     11 cm
  3.     5 cm
  4.     4 cm
 Discuss Question
Answer: Option D. -> 4 cm
:
D

Given : Perimeter of the given figure = 15 cm 
Let the length of the third side be x.
Perimeter of a figure = Sum of lengths of its sides = AB + BC + AC
15 cm = 6 cm + 5 cm + x
15 cm = 11 cm + x
 x = 15 cm - 11 cm
 x = 4 cm
Therefore, the third side is 4 cm long.


Question 34.


Calculate the area bounded by the square shown below:
Calculate The Area Bounded By The Square Shown Below:


  1.     6 cm2
  2.     12 cm2
  3.     24 cm2
  4.     36 cm2
 Discuss Question
Answer: Option D. -> 36 cm2
:
D

Given:
side of the square is 6 cm.
area of square = side2
Area of the given figure = (6cm)2 = 36 cm2


Question 35.


In which of the following cases do we need to calculate area ?
 


  1.     To find how many tiles are needed to cover the floor of a room.
  2.     To find the amount of water in the lake.
  3.     To find the cost of fencing a ground.
  4.     To find the amount of paint in a container.
 Discuss Question
Answer: Option A. -> To find how many tiles are needed to cover the floor of a room.
:
A

Area is the total space occupied by any 2D shape.
To know the number of tiles required to cover a floor, we need to find the total space of the floor or the area of the floor first and then will have to divide this area by the area of one tile.
To find the amount of water in the lake we need to find the capacity or volume occupied by the lake.
To find the cost of fencing a ground we need to calculate the perimeter of the ground.
To find the amount of paint in a container we need to find the capacity of the container which is its volume. So we need to calculate its volume. 


Question 36.


What is the volume of the object if the volume of each block is 1 cm3?


What Is The Volume Of The Object if The Volume Of Each Bloc...


  1.     10 cm3
  2.     100 cm3
  3.     1000 cm3
  4.     10,000 cm3
 Discuss Question
Answer: Option A. -> 10 cm3
:
A

Given: Volume of each block is 1 cm3
There are 10 blocks in the given figure.
Volume of the object =10×1 cm3=10 cm3


 


Question 37.


Which of these shapes has the largest area?


Note: Area of each small square = 1 cm2


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

Given: Area of each small square = 1cm2
Area of figure in option A = 8 cm2
    Area of figure in option B = 9 cm2
    Area of figure in option C = 10 cm2
    Area of figure in option D = 7 cm2
The figure in option C has the largest area. 
 


Question 38.


Volume of a cube with side 4 cm is:
 


  1.     8 cm3
  2.     16 cm3
  3.     32 cm3
  4.     64 cm3
 Discuss Question
Answer: Option D. -> 64 cm3
:
D

Given: Length of the side = 4 cm
Volume of the cube =Side×Side×Side
=4 cm×4 cm×4 cm
=64 cm3
 


Question 39.


If the perimeter and area of a square are numerically equal, then what will be the length of the side of the square?
 


  1.     1 unit
  2.     2 units
  3.     3 units
  4.     4 units
 Discuss Question
Answer: Option D. -> 4 units
:
D

Given: Perimeter = Area (Numerically)
Perimeter of square =4×Side
Area of square =Side×Side
Perimeter = Area (Given)
4×Side =Side×Side
 Side=4 units
If the Perimeter and area of a square are equal, then the side is 4 units long.


Question 40.


Ali runs along the sides of a square park whose side is 10 m long. Find the distance covered by Ali if he runs around the park twice.
 


  1.     40 m
  2.     60 m
  3.     80 m
  4.     100 m
 Discuss Question
Answer: Option C. -> 80 m
:
C

Given: Side of the Square = 10 m 
Ali is running along the boundary of the park.
This implies that the distance covered by him will be equal to the perimeter of the park.
Perimeter of a square = 4 × Side
Perimeter of the square park = 4 × 10 m
= 40 m
Distance covered by Ali in two rounds of the park = 2 × Perimeter of the park
= 2 × 40 m
= 80 m
Therefore, distance covered by Ali is 80 m.
 


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