Volume is the **amount of space an object takes up. **The units of volume are cubic. To find the volume o a prism we use the formula:

V = B • h

***IMPORTANT***

The capital “B” stands for the “area” of the base shape, and the “h” stands for the height of the prism.

**Example** 1:

**Step** 1: Write the fomula

V = B • h

**Step** 2:Find the area of the base shape.

The base shape is a rectangle with the dimensions of 6 inches by 5 inches.

So, 6 • 5 = 30

The area of the base shape is 30 in^{2}

**Step** 3: Substitute the variables in the formula with the information you have.

V = 30 • 4

**Step** 4: Solve by multiplying the area of the base shape times the height of the prism.

V = 30 • 4

**V = 120in ^{3} **

**Example** 2: Find the volume of a triangular prism

**Step 1:** Write the fomula

V = B • h

**Step** 2: Find the area of the base shape

In this problem the base shape is a triangle. So, we use the formula of ** A=(b•h)÷2** to find the area of the triangular base.

A=(b•h)÷2

A=(9•12)÷2

A=(108)÷2

**A=54cm**

^{2}**Step** 3: Substitute the variables in the formula with the information you have.

V = 54 • 18

**Step** 4: Solve by multiplying the area of the base shape times the height of the prism.

V = 54 • 18

**V = 972in ^{3}**

**Game**