# 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:

**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:

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.