## How to Find the Volume of a Rectangular Prism

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### The volume of Rectangular Prisms

A prism is a polyhedron with flat sides and bases of the **same** length. It is a solid object with flat sides, the same ends, and a cross-section that is the same length as the object. In Geometry, we will learn about the different prisms, such as a triangular prism, a pentagonal prism, and a hexagonal prism. Because it is a three-dimensional figure, it has both a surface area and a volume.

### How much space does a prism take up?

The **volume** of a prism is the amount of space the three-dimensional object takes up as a whole. In math, it is equal to the **product** of the **length** and the **area** of the base. Therefore,

The volume of a prism \(=\) Base Area \(\times\) Length

A three-dimensional object's volume is expressed in **cubic units**, a measuring unit.

### The volume of a rectangle-shaped prism

A rectangular prism has **four** straight sides and **two** square bases next to each other. We know that a rectangular prism is cut into a **rectangle**. The square-shaped prism is also called a "cuboid."

So, here is the **formula** for figuring out the volume of a rectangular prism:

A rectangular prism has a volume of \(l \times b \times h\) cubed units. Where:

- \(l \ =\) Width of a rectangle's base
- \(b \ =\) length of the base of a rectangular prism
- \(h \ =\) the height of a rectangle

### Example:

Find the volume of the rectangle-shaped prism shown below.

**Step 1:**Figure out the rectangular prism's length \((l)\), width \((w)\), and height \((h)\).

Most of the time, the**vertical**side of a rectangular prism is thought to be its**height**, so \(h \ = \ 6\) cm.**Length**is usually believed to be the length of the**remaining**measurements, so we have \(l \ = \ 5\) cm. and \(w \ = \ 3\) cm.**Step 2:**Use the**formula**\(V \ = \ l \times w \times h\) to figure out the volume. Don't forget to put the units, units\(^3\).

To get the volume, we need to multiply the length, width, and height.

\(V \ = \ 5 \times 3 \times 6 \ = \ 90\)

The volume is \(90\) cm\(^3\).

### Exercises for Volume of Rectangle Prisms

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## Volume of Rectangle Prisms Practice Quiz

### More Solid Figures courses

- How to Find the Volume of a Rectangular Prism
- How to Find the Volume of a Cylinder
- How to Find the Surface Area of a Cylinder
- How to Find the Surface Area of a Rectangular Prism
- How to Find Volume and Surface Area of Cubes
- How to Find the Volume of a Cube
- How to Find Volume and Surface Area of Pyramids and Cone