VOLUME OF TRIANGULAR PRISM WORKSHEET

Question 1 :

Find the volume of the prism shown below.

Question 2 :

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

1. Answer :

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

V = (1/2) x B x h

Step 3 :

Find base area

Base Area = l x w

22 x 24

= 528 sq.m

Step 4 :

Find volume of the triangular prism

V = (1/2) x b x h

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

= 1848 cubic meters

2. Answer :

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

V = (1/2) x b x h

Step 3 :

Find base area.

Base Area = l x w

= 9 x 6

= 54 sq.ft

Step 4 :

Find volume of the triangular prism.

V = (1/2) x b x h

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

= 108 cubic feet

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