# VOLUME OF TRIANGULAR PRISM

## About "Volume of triangular prism"

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.

## Volume of triangular prism - Examples

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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