Making a final exam study guide. Please show all work and explain your reasoning

Question

Making a final exam study guide. Please show all work and explain your reasoning so that I may easily follow. Thank you!

A cubic block with sides of length L sits on a table, exerting a pressure P on the area of the table with which it is in contact. A rectangular block made of the same material with dimensions 2L x 3L x 6L is then placed on the table, with the smallest face of the block touching the table's surface. What pressure does the rectangular block exert on the area of the table with which it is in contact?

Explanation / Answer

let the density of box be then

L3 = L2 P

so =P/L

let pressure in this case be y then

2Lx3LxY=x2Lx3Lx6L

Y=6P

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