
What is the formula of calculating the volume of a rectangular object?
Answer
463.2k+ views
Hint: Here we have to tell the volume of the rectangular prism. We should know that a rectangular prism is also called a cuboid. So here we have to tell the volume of the cuboid. We should keep in mind that rectangles and rectangular objects are different. Since the rectangle has no volume but it does have area which is the product of its length and breadth.
Complete step-by-step answer:
Here we will use the definition of rectangular side and the number of sides a cuboid has.
As we know, a rectangular prism is a rectangular-shaped prism having $8$ vertices, $12$ sides and $6$ rectangular faces.
We can define the volume of a rectangular prism as the space occupied within a rectangular object. It is a polyhedron and two congruent parallel bases.
Thus, the volume of a rectangular prism can be obtained by multiplying the length, breadth and height of the prism and it can be measured in cubic units such as $c{m^3},{m^3}$ and so on.
We know that the base of a rectangular prism is a rectangle. Therefore, by applying the formula of rectangular prism we get:
$V = l \times w \times h$
Where we know that is the base width, is the length of the rectangular prism and is the height.
The image of the rectangular prism or cuboid can be drawn as:
Hence this is the required volume of the rectangular prism.
Note: We should note that there are two types of rectangular prisms. They are known as a right rectangular prism and oblique rectangular prism. In the case of the right rectangular prism, the bases are perpendicular to each other while in the case of the oblique rectangular prism, we should know that the bases are not perpendicular to each other.
Complete step-by-step answer:
Here we will use the definition of rectangular side and the number of sides a cuboid has.
As we know, a rectangular prism is a rectangular-shaped prism having $8$ vertices, $12$ sides and $6$ rectangular faces.
We can define the volume of a rectangular prism as the space occupied within a rectangular object. It is a polyhedron and two congruent parallel bases.
Thus, the volume of a rectangular prism can be obtained by multiplying the length, breadth and height of the prism and it can be measured in cubic units such as $c{m^3},{m^3}$ and so on.
We know that the base of a rectangular prism is a rectangle. Therefore, by applying the formula of rectangular prism we get:
$V = l \times w \times h$
Where we know that is the base width, is the length of the rectangular prism and is the height.
The image of the rectangular prism or cuboid can be drawn as:
Hence this is the required volume of the rectangular prism.
Note: We should note that there are two types of rectangular prisms. They are known as a right rectangular prism and oblique rectangular prism. In the case of the right rectangular prism, the bases are perpendicular to each other while in the case of the oblique rectangular prism, we should know that the bases are not perpendicular to each other.
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