# VOLUME OF TRIANGULAR PRISM WORKSHEET

## About "Volume of triangular prism worksheet"

Volume of triangular prism worksheet :

Worksheet on volume of triangular prism is much useful to the students who would like to practice volume problems on prisms and pyramids.

## Volume of triangular prism worksheet - Problems

1.  Find the volume of the prism shown below.

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

## Volume of triangular prism worksheet - Solution

Problem 1 :

Find the volume of the prism shown below.

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.

Problem 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 problems given above, we hope that the students would have understood the stuff "Volume of triangular prism"

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