Question

The diagram shows a prism placed on a horizontal floor. The prism has a height of 5m and a volume of 30m cubed. The pressure on the floor due to to the prism is 55 newtons/m². Work out the force exerted by the prism on the floor.

Answer 1

Answer: 330 Newtons

Answer 2

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.