**Download Perimeter Area and Volume Worksheets for Class 5**

**Q.1) Find the area of the Rectangle whose length and breadth are 4 cm and 3 cm respectively.**

a) 18 sq. cm

b) 12 sq. cm

c) 20 sq. cm

**Q.2) Find the Area of Square whose side is 10 cm ?**

a) 90

b) 100

c) 96

**Q.3) Find the Perimeter of the Rectangle whose sides are L = 16 cm and B = 12 cm ?**

a) 48 cm

b) 56 cm

c) 52 cm

**Q.4) Find the perimeter of the Square each of whose side is 12 cm ?**

a) 44 cm

b) 48 cm

c) 42 cm

**Q.5) Find the side of the Square , whose Perimeter is 38 cm ?**

a) 9.5 cm

b) 11.5 cm

c) 6.5 cm

**Q.6) If Perimeter of a Rectangle is 32 cm and its length is 6 cm, find its breadth?**

a) 10 cm

b) 16 cm

c) 6 cm

**Q.7) Find the cost of fencing a square field with sides 16 metres at the rate of ₹ 10 per metre ?**

a) ₹ 610

b) ₹ 630

c) ₹ 640

**Q.8) What will be the cost of tiling a floor with side 8 m and 10 m if the cost of tiling is Rs. 6 per sq. m ?**

a) Rs. 520

b) Rs. 480

c) Rs. 540

**Q.9) If the perimeter of a Rectangle is 24 cm and its breadth is 8 cm , find its length ?**

a) 4 cm

b) 9 cm

c) 12 cm

**Q.10) How many tiles of size 3 m and 4 m can cover the area of whole floor of size 12 m 16 m ?**

a) 26

b) 21

c) 16

**Q.11) Find the Volume of ice cube if its each side is 5 cm ?**

a) 125 cubic cm

b) 128 cubic cm

c) 25 cubic cm

**Q.12) Find the Volume of the cuboid if its L = 2 cm , B = 4 cm , H = 5 cm ?**

a) 50 cubic cm

b) 40 cubic cm

c) 70 cubic cm

**Q.13) A box has length 10 m , breadth 5 m and height 8 m . Find the Volume of box ?**

a) 400 cubic m

b) 403 cubic m

c) 398 cubic m

### Perimeter Area and Volume Worksheets for Class 5 Explanations

**Q.1) Explanation –**

Length of the Rectangle = 4 cm

Breadth of the Rectangle = 3 cm

We know that,

Area of Rectangle = ( Length x Breadth ) sq. unit

= ( 4 x 3 ) sq. cm

= 12 sq. cm

Hence, the Area of Rectangle = 12 sq. cm

**Correct Answer – b) 12 sq. cm**

**Q.2) Explanation – Perimeter Area and Volume Worksheets for Class 5**

Given :

Side of Square = 10 cm

Area of Square = ( Side x side )

= ( 10 x 10 )

= 100

Hence, Area of Square = 100

**Correct Answer – b) 100 **

**Q.3) Explanation –**

Rectangle is a four sided polygon having equal opposite sides

Given:

Length = 16 cm

Breadth = 12 cm

Perimeter of the Rectangle = 2 x ( Length + Breadth ) unit

= 2 x ( 16 + 12 ) cm

= ( 2 x 28 ) cm

= 56 cm

So, Perimeter of the Rectangle is 56 cm

**Correct Answer – b) 56 cm**

**Q.4) Explanation – Perimeter Area and Volume Worksheets for Class 5**

Perimeter is a path that surrounds a two-dimensional shape.

We know that all the sides of a Square are equal

Therefore,

Perimeter of Square = ( 4 x Length of each side ) unit

Side of Square = 12 cm

= ( 4 x 12 ) cm

= 48 cm

Hence, Perimeter of Square = 48 cm

**Correct Answer – b) 48 cm**

**Q.5) Explanation –**

Perimeter of Square = 38 cm

Square is a four sided polygon having all four sides equal in length.

Therefore,

Perimeter of Square = ( 4 x Length of each side )

Length of each side =

= cm

= 9.5 cm

**Correct Answer – a) 9.5 cm**

**Q.6) Explanation – Perimeter Area and Volume Worksheets for Class 5**

Perimeter of Rectangle = 32 cm

Length of Rectangle = 6 cm

As we know that Perimeter of the Rectangle = 2 x ( Length + Breadth )

Perimeter = 2 x Length + 2 x Breadth

2 x Breadth = Perimeter – 2 x Length

Breadth =

Now, substitute the value of Perimeter and Length

=

=

=

= 10 cm

Breadth of Rectangle = 10 cm

**Correct Answer – a) 10 cm**

**Q.7) Explanation –**

Side of square field = 16 metres

To find the cost of fencing first find Perimeter of the field

Perimeter of field = ( 4 x side ) unit

= 4 x 16 metres

= 64 metres

Now,

Cost of fencing square field = Perimeter of field x cost per metre

= 64 x 10

= ₹ 640

**Correct Answer – c) ₹ 640**

**Q.8) Explanation – Perimeter Area and Volume Worksheets for Class 5**

It is given that sides of the floor are 8 m and 10 m

Let Length = 8 m

Breadth = 10 m

To find the cost of floor , we need to find the area of the floor. As length and breadth of the floor are given

Then,

Area of floor = ( Length x Breadth ) sq. m

= ( 8 x 10 ) sq. m

= 80 sq. m

Cost of 1 sq. m = Rs. 6

Cost of 80 sq. m = Rs. 6 x 80

= Rs. 480

**Correct Answer – b) Rs. 480**

**Q.9) Explanation –**

Given :

Perimeter of Rectangle = 24 cm

Breadth of Rectangle = 8 cm

As we know that Perimeter of the Rectangle = 2 x ( Length + Breadth ) unit

Perimeter = 2 x Length + 2 x Breadth

2 x Length = Perimeter – 2 x Breadth

Length =

Now, substitute the value of Perimeter and Breadth

we get

=

=

=

= 4 cm

Length of Rectangle = 4 cm

**Correct Answer – a) 4 cm**

**Q.10) Explanation – Perimeter Area and Volume Worksheets for Class 5**

Area of floor = ( Length x Breadth ) sq. unit

Area of floor = ( 12 x 16 ) sq. m

= 192 sq. m

Area of each tile = ( Length x Breadth ) sq. unit

= ( 3 x 4 ) sq. m

= 12 sq. m

Number of tiles needed =

=

= 16 tiles

**Correct Answer – c) 16**

**Q.11) Explanation –**

Cube is a 3D shape in which all the sides are equal

Volume of cube = ( side x side x side ) cubic unit

Volume of cube = ( 5 x 5 x 5 ) cubic cm

= 125 cubic cm

**Correct Answer – a) 125 cubic cm**

**Q.12) Explanation – Perimeter Area and Volume Worksheets for Class 5**

Length of the cuboid = 2 cm

Breadth of the cuboid = 4 cm

Height of the cuboid = 5 cm

Volume of Cuboid = Length x Breadth x Height

= 2 cm x 4 cm x 5 cm

= 40 cubic cm

**Correct Answer – b)40 cubic cm**

**Q.13) Explanation –**

Length of box = 10 m

Breadth of box = 5 m

Height of box = 8 m

It is clear that box is in cubiodal shape

Volume of Cuboid = ( Length x Breadth x Height ) cubic unit

= ( 10 x 5 x 8 ) cubic m

= 400 cubic m

**Correct Answer – a) 400 cubic m**

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