# Volume of Cubes and Rectangular Prisms

**How do you write the volume of a cuboid or rectangular prism?**

Cuboids are rectangular boxes with different length sides. It has six faces and all angles form right angles.

And all of its faces are rectangles.

It is also called a prism as it has the same cross-section throughout the length. It can be also termed as a **rectangular prism.**

** Example:** Calculate the volume of cuboid of length 22 cm, height 10 cm and width 8 cm.

Volume = L × H × W

Volume of cuboid = 22 × 10 × 8 = **1760 cm ^{3}**

**How do you write the volume of a cube?**

A cube is a box with 6 faces which has equal side lengths all over. Each face of the cube is a square. So, the length, width and height of a cube are all same.

** Example: **Jill is packing a carton box with confetti’s. She wants to know the volume of the cubical box to fill it up. She knows that the side of box measures 4 cm.

Volume of cube is denoted by *a***³ which means side × side × side where side = a.**

So, volume of the carton box = *a*³ = 4³ = 4 × 4 × 4 **= 64 cm³**

**Square Prism**

When any two sides of a cuboid are same, it can also be called as a square prism

- Find the volume of a cube of side 3 cm.
- What is the volume of a swimming pool if length is 40 m, width is 56 m, and depth is 22 m?

- Jerald wants to find out the volume of a metallic tool box which has a width of 11 cm, depth of 8 cm and length of 9 cm.

- What is the volume of a wooden dice of side of length 5 mm?

- A cube has a volume of 81 cm
^{3}. What is the length of each side of the cube?

##### Answer key

- 27 cm
^{3} - 49280 m
^{3} - 792 cm
^{3} - 125 mm
^{3} - 9 cm

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