Question

The arena has several triangular prisms that are used as advertising boards. They are to be filled with sand so they cannot easily be moved. 

What is the volume of sand needed to fill one? 

m3

Answer 1

Step 1: Identify the base, height and length of the triangular prism from the given diagram.

`base=2 \; m\\height=1.5 \; m\\length=3 \; m`

Step 2: Substitute the base, height and length values in the formula given in the diagram.

`Volume(V)=(base* height)/(2)* length\\\\V=(2* 1.5)/(2)* 3\\\\V=4.5m^3`

Conclusion:

The volume of sand needed to fill on is 4.5 cubic meters