Question

a pressure of 180N/m2 is experienced when a force of 9N is applied to the top face of a cube. Calculate the area of the cube

Answer 1

To find the area of the cube's face, divide the force (9N) by the pressure (180N/
`m^2.`), which gives us 0.05
`m^2.`

Step-by-step explanation:

The student is asking how to calculate the area of a cube's face when a pressure and force are known. Pressure (P) is defined as force (F) divided by area (A), therefore we can rearrange the formula to solve for area (A = F / P). In this case, a force (F) of 9N is resulting in a pressure (P) of 180N/
`m^2.`

To find the area (A) that the force is applied to, we divide the force by the pressure:

A = F / P = 9N / 180N/
`m^2.` = 0.05
`m^2.`

Therefore, the area of the top face of the cube where the force is applied is 0.05
`m^2.`