Photo AI

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... 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

Find the Area of the Base of the Prism

96%

114 rated

Answer

The volume of the prism (V) is given by the formula:

$V = ext{Base Area} (A) \times ext{Height} (h)$

We know:

The volume $V = 18 \, m^3$
The height $h = 3 \, m$

We can rearrange the formula to find the base area:

$A = \frac{V}{h} = \frac{18 \, m^3}{3 \, m} = 6 \, m^2$

Step 2

Calculate the Force Exerted by the Prism

99%

104 rated

Answer

The pressure (P) exerted by the prism on the floor is given by:

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

Where:

$F$ is the force exerted by the prism
$A$ is the area of the base of the prism

We know:

Pressure $P = 75 \, N/m^2$
Area $A = 6 \, m^2$

Rearranging the formula to solve for force gives:

$F = P \times A = 75 \, N/m^2 \times 6 \, m^2 = 450 \, N$

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;