Volume of a cuboid = ????????
Volume of a Cuboid:
A cuboid is a three-dimensional geometric shape that has six rectangular faces, with each face being a parallelogram. The volume of a cuboid refers to the amount of space occupied by the shape. It is a crucial measurement in various real-life applications, such as calculating the capacity of containers, determining the amount of material required for construction, and more.
Formula for Volume:
The formula to calculate the volume of a cuboid is given by:
V = l * w * h
Where:
- V represents the volume
- l is the length of the cuboid
- w is the width of the cuboid
- h is the height of the cuboid
Explanation:
To understand how this formula works, let's break it down step-by-step:
1. Length (l): The length of the cuboid is the measurement of one of its longer sides. It can be any arbitrary unit of length, such as centimeters, meters, inches, etc.
2. Width (w): The width of the cuboid is the measurement of one of its shorter sides. Similar to the length, it can be expressed in any appropriate unit of length.
3. Height (h): The height of the cuboid is the measurement from the base to the top face and is perpendicular to the length and width. It also follows the same unit of length as the other dimensions.
4. Multiplication: To find the volume, we multiply the length, width, and height of the cuboid together. This is because the volume represents the total space enclosed within the shape, which can be visualized by stacking multiple layers of the shape on top of each other.
5. Unit: The volume is expressed in cubic units, which is the result of multiplying the three dimensions together. For example, if the length, width, and height are given in centimeters, the volume will be in cubic centimeters (cm³).
Example:
Let's consider an example to illustrate the calculation of the volume of a cuboid. Suppose we have a cuboid with a length of 5 cm, a width of 3 cm, and a height of 2 cm.
Using the formula: V = l * w * h
V = 5 cm * 3 cm * 2 cm
V = 30 cm³
Therefore, the volume of the given cuboid is 30 cubic centimeters.
Volume of a cuboid = ????????
|>A cuboid has six faces and it is box shaped object.
|>The volume of a cuboid is given by V = l*b*h.
|>It is measured in cubic units.
|>Surface area of a cuboid is given by Surface Area = 2lh + 2bh + 2lb.
|>It is measured in square units;(where l = length, w = width or breadth and h = height).
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.