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The world is full of 3D shapes including the cube, cuboid, and cylinder. In a 3D shaped figure, the length, breadth, and height are often measured. In the case of a 2D figure, however, you just have the length and height. Triangles, squares, and circles are examples of 2D shapes. The volume of a cuboid is the measurement of the space it occupies. Here, we will learn about the volume of cube and cuboid.
The volume of a cube and cuboid
The cuboid is a three-dimensional shape that we frequently encounter. The volume of a cuboid is the measurement of the space it occupies. A cuboid has three dimensions, length, breadth, and height. If we stack some rectangular sheets, we will end up with a shape that has some length, breadth, and height which resembles a cuboid, with six faces, twelve edges, and eight vertices. The volume of a cuboid is measured in cubic metres or centimetres – the metric units of volume, whereas cubic inches or cubic feet are the USCS units. As the volume of a cuboid is determined by its length, breadth, and height, changing any one of those values alters the volume of the shape.
Volume of cuboid formula
The volume of a cuboid can be calculated using the concept mentioned on rectangular sheets. Let A represent the area of a rectangular sheet of paper, h represent the height to which they are stacked, and V represent the volume of the cuboid. After that, multiply the base area and height to get the volume of the cuboid.
The base area of a cuboid is equal to lb.
As a result, the volume of a cuboid is V = l×b×h.
How to find the volume of cuboid?
The volume of a cuboid is the amount of space it takes up inside. The volume of a cuboid can be computed using the volume of a cuboid formula. To calculate the volume of a cuboid, follow these steps:
Step 1: Determine whether the cuboids’ dimensions are in the same units. If not, change the units for the dimensions.
Step 2: Multiply the cuboid’s length, breadth, and height once the measurements are in the same units.
Step 3: Once the value has been determined, write the unit at the end.
Examples
Calculate the volume of a cuboid having length, breadth and height are 7,5 and 2 cm.
Solution: The volume of a cuboid is given by formula V=l×b×h=7×5×2=70cm3
Volume of a cube
The entire number of cubic units occupied completely by a cube is defined as its volume. A cube is a solid shape with six square faces in three dimensions. The overall area occupied by an object is known as its volume. A larger volume object will take up more room. The whole three-dimensional space occupied by a cube is referred to as its volume. A cube is a solid three-dimensional object with six square faces and equal-length sides. One of the five platonic solid shapes is the cube, often known as a regular hexahedron. The unit3 or cubic units are used to represent the volume of a cube. The cubic metre (m3) is the volume occupied by a cube having one metre on each side.inches3, yards3, etc. are the USCS units for volume.
Volume of Cube Formula
Multiplying the edge length three times yields the volume of a cube. For example, if the length of a cube’s edge is 4 the volume is 43 The formula for calculating a cube’s volume is
Volume of a cube=s3
where ‘s’ is the length of the cube’s side.
Conclusion
Cuboid volume is the entire space covered by a three-dimensional figure in three-dimensional space. Six rectangular faces makes up a cuboid. The six faces are three parallel faces. The volume of a cuboid can be regarded as its capacity when it is hollow. As a three-dimensional figure, the cuboid as well as cube has 12 vertices and 8 edges as well. The length, breadth, and height of a cuboid are used to calculate its volume of cuboid, while for cube all three are of the same value.
