Question

If 1,233 bricks are required for 100 square feet of an 8-inch wall, the number of bricks required for 150 square feet of a 12-inch wall is most nearly?

Answer 1

- The solution steps are given below:

`\begin{gathered} \text{ The volume of the intial 8-inch wall is:} \\ 100*(8)/(12)=(200)/(3)ft^3 \\ \\ \text{ The volume of the 12-inch wall is:} \\ 150*(12)/(12)=150ft^3 \\ \\ \text{ The volume occupied by each brick is constant. Thus,} \\ \frac{Number\text{ of bricks}}{Volume\text{ of wall}}=\text{ Constant} \\ \\ \\ \therefore(200)/(3)*(1)/(1233)=(150)/(N) \\ \\ \therefore N=(1233*150*3)/(200) \\ \\ N=2774.25\approx2775\text{ \lparen Round up\rparen} \end{gathered}`

Final Answer

The answer is 2775 bricks