# Free Perimeter, Area and Volume 01 Practice Test - 5th Grade

### Question 1

Volume of a rectangular prism (cuboid) is:

length × breadth

length + breadth

length × breadth × height

2 (length + breadth)

#### SOLUTION

Solution :C

Volume of a rectangular prism (cuboid) = length × breadth × height

### Question 2

Perimeter of an irregular polygon is:

#### SOLUTION

Solution :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.

### Question 3

Calculate the area bounded by the square shown below:

6 cm2

12 cm2

24 cm2

36 cm2

#### SOLUTION

Solution :D

Given:

side of the square is 6 cm.

area of square = side2

∴ Area of the given figure = (6cm)2 = 36 cm2

### Question 4

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

10 cm3

100 cm3

1000 cm3

10,000 cm3

#### SOLUTION

Solution :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 5

The perimeter of the figure given below is 15 cm. Find the length of the third side.

6 cm

11 cm

5 cm

4 cm

#### SOLUTION

Solution :D

Given : Perimeter of the given figure = 15 cm

Let the length of the third side bex.

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 6

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

#### SOLUTION

Solution :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 7

Volume of a cube with side 4 cm is:

8 cm3

16 cm3

32 cm3

64 cm3

#### SOLUTION

Solution :D

Given: Length of the side = 4 cm

Volume of the cube =Side×Side×Side

=4 cm×4 cm×4 cm

=64 cm3

### Question 8

Which of these shapes has the largest area?

Note: Area of each small square = 1 cm2

#### SOLUTION

Solution :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 9

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

1 unit

2 units

3 units

4 units

#### SOLUTION

Solution :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 10

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.

40 m

60 m

80 m

100 m

#### SOLUTION

Solution :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.