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The diagram shows a prism placed on a horizontal floor - Edexcel - GCSE Maths - Question 9 - 2020 - Paper 1

Question 9

The diagram shows a prism placed on a horizontal floor. The prism has height 3 m The volume of the prism is 18 m³ The pressure on the floor due to the prism is 75 n... show full transcript

Worked Solution & Example Answer:The diagram shows a prism placed on a horizontal floor - Edexcel - GCSE Maths - Question 9 - 2020 - Paper 1

Step 1

Work out the area of the base of the prism.

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Answer

The volume of a prism is given by the formula:

$V = \text{Base Area} \times \text{Height}$

Substituting the known values:

$18 = \text{Base Area} \times 3$

To find the Base Area, we can rearrange the formula:

$\text{Base Area} = \frac{V}{\text{Height}} = \frac{18}{3} = 6 \text{ m}^2$

Step 2

Calculate the force exerted by the prism.

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Answer

Pressure is defined as force per unit area:

$P = \frac{F}{A}$

Rearranging this formula gives us the force:

$F = P \times A$

Substituting the values of pressure and area we have:

$F = 75 \text{ N/m}^2 \times 6 \text{ m}^2 = 450 \text{ N}$

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