Volume of a Cuboid Prism
A rectangular prism or cuboid prism and a cuboid are two terms often used interchangeably to describe the same three-dimensional geometric shape. Both refer to a solid figure with six rectangular faces, where each face is perpendicular to its adjacent faces.
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Cuboid |
Rectangular Prism / Cuboid Prism |
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This term is often used in geometry and engineering to specifically describe a rectangular prism where the lengths of its edges are all different. In other words, a cuboid has rectangular faces, but its dimensions (length, width, and height) are not necessarily equal. |
This term is more commonly used in mathematics and geometry to describe a three-dimensional figure with six faces that are all rectangles. It’s a general term that encompasses any prism with rectangular faces, including cubes. |
Hence, the volume of a cuboid prism or volume of a rectangular prism are same as volume of a cuboid which is given by:
Volume = length × width × height
where:
- length is the longest side of the base
- width is the shorter side of the base
- height is the distance from the base to the opposite side
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Volume of Cuboid | Formula and Examples
Volume of a cuboid is calculated using the formula V = L × B × H, where V represents the volume in cubic units, L stands for length, B for breadth, and H for height. Here, the breadth and width of a cuboid are the same things. The volume signifies the amount of space occupied by the cuboid in three dimensions. To measure it, multiply the length by the breadth and then by the height of the cuboid. Each dimension contributes to the overall capacity of the cuboid, with the product yielding the total volume encompassed by its shape.
Volume of a Cuboid = length × breadth × height
A cuboid is a convex polyhedron surrounded by 6 rectangular faces with 8 vertices and 12 edges. Volume of the Cuboid is the space occupied by the cuboid in the 3D space.
Let’s learn the formula for the Volume of Cuboid and how to use it with the help of solved examples.
Table of Content
- What is Volume of Cuboid?
- Volume of Cuboid Formula
- How to Find Volume of Cuboid?
- Volume of Cube and Cuboid
- Surfac Area of Cuboid
- Volume of a Cuboid Prism
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