**Volume of triangular prism :**

**In a 3-D figure, if the base is a rectangle or square, two of the side walls side walls are triangles and other two side walls are rectangles or squares, then the 3-D figure is called triangular prism. **

**Any triangular prism will look like the one shown below. **

The formula to find volume of the above triangular prism is

**= (1/2) x Base area x Height**

**Important note : **

The above formula will work only if the given figure meets the following conditions.

**(i) The base must be a rectangle or square. **

**(ii) Two of the side walls side walls must be triangles**

**(iii) Other two side walls must be rectangles or squares. **

**Example 1 : **

Find the volume of the prism.

**Solution : **

**Step 1 :**

In the given prism, the base is a rectangle, two of the side walls are triangles and other two side walls are rectangles.

So, the given prism is a triangular prism.

**Step 2 :**

Volume of a triangular prism = (1/2) x base area x height

or

V = (1/2) x b x h

**Step 3 :**

Find base area

Base area = l x w

Base area = 528

Base area = 528 sq.m

**Step 4 :**

Find volume of the triangular prism

V = (1/2) x b x h

V = (1/2) x (528) x 7

V = 1848 cubic meters.

Hence, the volume of the given prism is 1848 cubic meters.

**Example 2 : **

Bradley’s tent is in the shape of a triangular prism shown below. How many cubic feet of space are in his tent ?

**Solution : **

**Step 1 : **

**To find the number of cubic feet of space in **Bradley’s **tent, we have to find the volume of his tent. **

**Step 2 :**

Volume of a triangular prism = (1/2) x base area x height

or

V = (1/2) x b x h

**Step 3 :**

Find base area

Base area = l x w

Base area = 9 x 6

Base area = 54 sq.ft

**Step 4 :**

Find volume of the triangular prism

V = (1/2) x b x h

V = (1/2) x (54) x 4

V = 108 cubic.ft

Hence, the **number of cubic feet of space in **Bradley’s **tent is 108. **

After having gone through the stuff given above, we hope that the students would have understood, how to find volume of a prism whose base **base is a rectangle or square, two of the side walls side walls are triangles and other two side walls are rectangles or squares.**

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