# **Volume**

## The volume of Cube and Cuboid for Class 5 Maths

The volume of the cube and cuboid refers to the space that is covered by the cube and cuboid. Here students will learn about volume and capacity.

In this learning concept, the students will learn to

- Distinguish the volume of a cuboid and the volume of a cube.
- Identify the formula to find the volume of a cuboid and the formula to find the volume of a cube.
- Evaluate the difference between volume and capacity.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the pageâ€™s end.

Download the volume of the cube and cuboid worksheet for class 5 and check the solutions for the volume of cube and cuboid questions provided in PDF format.

## Volume and Capacity:

Volume: The **Volume** of any three-dimensional figure refers to the measure of space occupied by any substance in it.

So, the **Capacity** of any three-dimensional figure refers to the measure of the substance that the interior of the object can accommodate.

- The units for measuring volume are cubic units,cm3,m3 etc.
- The units for measuring capacity are litres or millilitres.

Relation Between Cubic Centimetres (CC)and Millilitres and Litres

1Litre = 1000 CC and 1CC = 0.001 L

1Mililitres = 1 CC

### Example:

- Convert CC to millilitres and litters: 30 CC
- Convert millilitres and litters to CC: 30 mL and 30 L

Answer:

- 30 CC = 30 mL

30 CC = 0.03 L - 30 mL = 30 CCM

30 L = 30000 CC

Difference Between Volume and Capacity:

1. The volume of any three-dimensional solid figure is the measure of space occupied by the solid. | 1. The capacity of any object is equal to the volume of substance that the interior of the object can accommodate. |

2. Both solid and hollow objects have volume. | 2. Only hollow objects have the capacity. |

3. Units of we use for volume is CC, Cubic meter. | 3. Units of we use for capacity are litres or millilitres |

What Is the Volume of a Cuboid?

The volume of a cuboid is equal to the amount of space occupied by the cuboid. It depends on the three dimensions of the cuboid, which are length, breadth and height.

## Formula to Find Volume of Cuboid:

Volume of Cuboid = Length Ã— Breadth Ã— Height or, Volume of Cuboid = l Ã— b Ã— h

when, l = Length

b = Base

h = Height

## Steps to Find Volume of Cuboid:

To find the volume of the cuboid, we need to know the dimensions of the cuboid first. If all the dimensions are given, then the below steps to follow to find the volume.

**Step 1:** Check the length, breadth and height of the cuboid.

**Step 2:** Check if all units of the length, breadth and height are the same. If not then convert the length, breadth and height into the same units.

**Step 3:** Then multiply the length, height and breadth of the cuboid to find the volume.

**Step 4:** The result of the multiplication is the volume of the cuboid, written with the cubic unit.

### Example:

Find the volume of the cuboid with a length of 5 cm, a width of 2 cm and a height of 3 cm

Answer:

Length = 5 cm, Width = 2 cm, and Height = 3 cm

Volume = (5 Ã— 2 Ã— 3) CC = 30 CC

Hence, the volume of the cuboid is 30 CC.

How to Find the Volume of a Cube?

The volume of a cube refers to the total space occupied by it. It defines the number of cubic units occupied by the cube completely. The volume of the cube depends on its length, breadth and height of the cube.

## Formula to Find the Volume of a Cube:

Volume of Cube = Length Ã— Length Ã— Length

or,

Volume of Cube = a Ã— a Ã— a = a3

When, Length = a

## Steps to Find the Volume of a Cube:

To find the volume of the cube, we need to know the dimensions of the cube first. If all the dimensions are given, then follow the below steps to find the volume.

**Step 1:** Check the length of the cube.

**Step 2:** Then multiply the length of the cube three times by itself to find the volume.

**Step 3:** The result of the multiplication is the volume of the cube, written with the cubic unit.

### Example:

Find the volume of the cube with a length of 5 cm.

Answer:

Length = 5 cm

Volume = (5 Ã— 5 Ã— 5) CC = 125 CC

Hence, the volume of the cuboid is 125 CC.