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The diagram shows a prism placed on a horizontal floor. pressure=(force)/(arca) The prism has height 3m The volume of the prism is 18m^3 The pressure on the floor due to the prism is 75newtons/m^2 Work out the force exerted by the prism on the floor. (3 marks)

Question

The diagram shows a prism placed on a horizontal floor.
pressure=(force)/(arca)
The prism has height 3m
The volume of the prism is 18m^3
The pressure on the floor due to the prism is 75newtons/m^2
Work out the force exerted by the prism on the floor.
(3 marks)

The diagram shows a prism placed on a horizontal floor. pressure=(force)/(arca) The prism has height 3m The volume of the prism is 18m^3 The pressure on the floor due to the prism is 75newtons/m^2 Work out the force exerted by the prism on the floor. (3 marks)

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EltonMaster · Tutor for 5 years

Answer

450 N

Explain

## Step 1:<br />Firstly, we need to understand the problem. The problem is asking for the force exerted by the prism on the floor. We are given the pressure exerted by the prism and we know that pressure is equal to force divided by area. So, we can rearrange the formula to solve for force. <br /><br />### The formula to calculate force is: <br />### \( Force = Pressure \times Area \)<br /><br />## Step 2:<br />Next, we need to find the area of the base of the prism. We know that the volume of a prism is equal to the base area times the height. We can rearrange this formula to solve for the base area.<br /><br />### The formula to calculate the base area is: <br />### \( Area = \frac{Volume}{Height} \)<br /><br />Substituting the given values, we get:<br /><br />### \( Area = \frac{18 m^{3}}{3 m} = 6 m^{2} \)<br /><br />## Step 3:<br />Now that we have the area, we can substitute the values of pressure and area into the formula for force to find the force exerted by the prism on the floor.<br /><br />### \( Force = Pressure \times Area = 75 N/m^{2} \times 6 m^{2} = 450 N \)
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