Table of Contents

## Introduction to Cube, Cuboid and Cylinder

A cube is a three-dimensional solid object with six square faces.

A cuboid is a three-dimensional solid object with six rectangular faces.

A cylinder is a three-dimensional solid object with two circular bases and a cylindrical body.

## Reason for Difference Between Cube and Cylinder Volume

The difference between the cube and cylinder volumes is that the cube has six faces (squares) and the cylinder has two faces ( circles ). The cube has a total volume of V = s3, where s is the length of a side. The cylinder has a total volume of V = πr2h, where r is the radius of the base and h is the height.

## Cube

A cube is a three-dimensional solid object with six square faces. Each face is a square, and all the faces are the same size. The sides of a cube are all equal length, and the angles between them are all right angles.

## Properties Of Cube

A cube has six faces, twelve edges and eight vertices.

## Cuboid

Cuboid is a 3-dimensional solid with six square faces.

## Properties Of Cuboid

A cuboid is a three-dimensional figure with six square faces. It has eight vertices and 12 edges.

## Cylinder

A cylindrical container with straight sides and a circular top and bottom.

## Properties Of Cylinder

1. A cylinder is a solid figure with two congruent circular bases.

2. The height of a cylinder is the perpendicular distance from the base to the top of the cylinder.

3. The lateral surface area of a cylinder is the area of the surface of the cylinder that is not the base.

4. The total surface area of a cylinder is the sum of the lateral surface area and the base surface area.

5. The volume of a cylinder is the product of the height and the base area.

## How do you Calculate the Volume of Cube Cuboid and Cylinder

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To calculate the volume of a cube, cuboid, or cylinder, you need to know the length, width, and height of the object. Then, you can use the following formulas to calculate the volume:

For a cube or cuboid:

volume = length x width x height

For a cylinder:

volume = pi x radius2 x height

## The Volume of Cube

The volume of a cube is the product of the length of one side and the height of the cube.

The volume of a cube is given by the following equation:

Volume = length × height

## Steps for Calculating the Volume of the Cube

To calculate the volume of a cube, use the following formula:

volume = length x width x height

In this formula, “length” is the length of one side of the cube, “width” is the width of one side of the cube, and “height” is the height of the cube.

For example, if you want to calculate the volume of a cube that is 2 inches long, 2 inches wide, and 2 inches high, you would use the following formula:

volume = 2 in x 2 in x 2 in

volume = 8 in3

## The Volume of Cuboid

The volume of a cuboid is the product of the length, width, and height.

V = length × width × height

## Steps for Calculating the Volume of the Cuboid

1. Convert the given length, width and height of the cuboid into meters.

length = 4.5

width = 2.5

height = 1.5

2. Multiply the length, width and height of the cuboid to get the total volume in meters cubed.

volume = 4.5 x 2.5 x 1.5 = 18.375

## The Volume of Cylinder

The volume of a cylinder is the product of the area of the base and the height of the cylinder.

Volume = Area of the Base × Height of the Cylinder

## Steps for Calculating the Volume of the Cylinder

1. Find the radius of the cylinder.

2. Find the height of the cylinder.

3. Use the formula for the volume of a cylinder: V = πr2h

## Solved Examples

Example 1:

The area of a rectangle is 160 cm2 and its length is 8 cm. What is its width?

Width of the rectangle = 8 cm – 160 cm2/8 cm = -8 cm

Hence, the width of the rectangle is 8 cm shorter than its length.

## Facts About Cube, Cuboid, and Cylinder

A cube is a three-dimensional figure that has six square faces.

A cuboid is a three-dimensional figure that has six rectangular faces.

A cylinder is a three-dimensional figure that has two circular faces and two rectangular faces.

**Related Information:**

**Cuboid and Cube | Surface Area and Volume of Cuboid and Cube**

**RD Sharma Mensuration-II Volumes and Surface Areas of a Cuboid and Cube Ex 21.3**

**RD Sharma Mensuration-II Volumes and Surface Areas of a Cuboid and Cube Ex 21.4**