Volume of Cuboid:A cuboid is a three-dimensional shape with six rectangular faces. It has a length, width, and height, which are usually denoted as l, w, and h respectively. The volume of a cuboid refers to the amount of space it occupies.
Formula:The formula to calculate the volume of a cuboid is:
V = l * w * h
Explanation:To understand the formula for the volume of a cuboid, let's break it down into its components:
Length (l):The length of a cuboid is the measurement of its longest side. It is the distance from one end to the other end in a straight line.
Width (w):The width of a cuboid is the measurement of its shorter side. It is the distance from one side face to the opposite side face.
Height (h):The height of a cuboid is the measurement of its vertical side. It is the distance from the base to the top face.
Multiplication:To find the volume of a cuboid, we multiply the length, width, and height together. This is because the volume represents the three-dimensional space enclosed by the cuboid. By multiplying these three measurements, we can determine the total amount of space occupied by the cuboid.
Example:Let's consider a cuboid with a length of 5 cm, width of 3 cm, and height of 4 cm. Using the formula, we can calculate its volume:
V = l * w * h
= 5 cm * 3 cm * 4 cm
= 60 cm³
Therefore, the volume of the given cuboid is 60 cubic centimeters.
Conclusion:The volume of a cuboid is determined by multiplying its length, width, and height. This formula helps us calculate the amount of space occupied by a cuboid in three dimensions.