Explanation:
We can start by using the formula:
force = pressure x area
The pressure on the floor is given as 55 newtons/m². To find the area, we need to first calculate the base of the prism. We can do this by rearranging the formula for volume:
volume = base x height x depth
30 = base x 5 x depth
base = 6m² (dividing both sides by 5 x depth)
Now we can calculate the force exerted by the prism on the floor:
force = pressure x area
force = 55 x 6
force = 330 newtons
Therefore, the force exerted by the prism on the floor is 330 newtons.