Volume of Cuboid

The volume of a cuboid is the unit of measurement for the volume of a cuboid. The cuboid is a three-dimensional form that we frequently see. We’ll learn how to calculate the volume of a cuboid in this quick lesson. We’ll also learn how to use a rectangular sheet to determine the formula for cuboid volume and how to apply the formula. You will be able to answer issues involving the volume of a cuboid once you have mastered this chapter.

What Is the Volume of Cuboid?

The volume of a cuboid is the measurement of the space it occupies. A cuboid is a three-dimensional form with dimensions of length, width, and height. If we stack rectangular sheets, we will end up with a form that has some length, breadth, and height. This stack of sheets resembles a cuboid, with six faces, twelve edges, and eight vertices. The volume of a cuboid is measured in (unit)3. Cubic meters or cubic centimeters are the metric units of volume, whereas cubic inches or cubic feet are the USCS units. Because the volume of a cuboid is determined by its length, breadth, and height, altering any one of those values alters the volume of the form.

Volume of Cuboid Formula

The volume of a cuboid may be calculated using the approach mentioned on rectangular sheets. Allow ‘A’ to represent the area of a rectangular sheet of paper, ‘h’ to represent the height to which they are stacked, and ‘V’ to represent the volume of the cuboid. After that, multiply the base area and height to get the volume of the cuboid.

The volume of cuboid = Base area × Height

The base area for cuboid = l × b

Hence, the volume of a cuboid, V = l × b × h = lbh

How to Calculate Volume of Cuboid?

The volume of a cuboid is the amount of space it takes up within. A cube is formed when all three dimensions of a cuboid are equal. The volume of a cuboid may be computed using the volume of a cuboid formula. To determine the volume of a cuboid, follow these steps:

  • Step 1:Check whether the cuboids’ dimensions are in the same units. If they aren’t in the same units, convert them.
  • Step 2:Multiply the cuboid’s length, width, and height once the measurements are in the same units.
  • Step 3: Once the value is obtained, write the unit.

Here is an example of how to calculate the volume of a cuboid using its formula.

Example: Calculate the volume of a cuboid with a length of 7 inches, a width of 5 inches, and a height of 2 inches.

Solution: Cuboids have a volume of lbh, V = lbh

Here, length l = 7 inches, breadth b = 5 inches and height h = 2 inches

Thus, volume of cuboid, V = lbh = (7 × 5 × 2) in3

⇒ V = 70 in3

 The volume of cuboid is 70 in3.

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