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Formula for Volume of Rectangular box | Volume Formula

Below is the formula for calculating the volume of a rectangular box. Please refer to it when you need to calculate the volume of a rectangular box in real life.

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Formula for the volume of a rectangular box

The volume of a rectangular box is the amount of space the figure occupies, calculated as the product of the area of ​​the base (the area of ​​the rectangle at the base) and the height:

Inside:

  • V is the volume of the rectangular box.
  • a is the length of the rectangle.
  • b is the width of the rectangle.
  • h is the height of the rectangle.

The formula for calculating the diagonal of a rectangular box

The diagonals of the rectangular box are of equal length. Therefore, the calculation formula is as follows:

Example exercise on calculating the volume of a rectangular box

Exercise 1: A rectangular box has a length of 8 m, a 5 m, and a height of 6 m. Calculate the diagonal of the rectangular box.

Solution:

The diagonal of the rectangular box is: \sqrt{8^2\ +\ 6^2\ +\ 5^2}=\ 11.8m

Lesson 2:

Let ABCD.A’B’C’D’ rectangular box have base length 7 cm, base width 3 cm, base height 6 cm. Calculate the volume of rectangular box ABCD.A’B’C’D’.

The answer:

The formula for the volume of a rectangular box is V = ABH

We have the volume of rectangular box ABCD.A’B’C’D’ is: V = 7.3.6 = 126 cm³

Exercise 3: A rectangular box has a volume of 3000 m3, a width of 10 m, and a height of 12 m. Calculate the length of the lake.

Solution:

The length of the reservoir is:

a=\frac{V}{bh}\ =\ \frac{3000}{10.12}=25(m)

In addition to the volume, we are also often interested in the surrounding area, the total area of ​​​​the rectangular box. For details, please follow along in the article The formula for calculating the area of ​​a rectangular box.

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