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

Solution

- The solution steps are given below:

$\begin{gathered} \text{ The volume of the intial 8-inch wall is:} \\ 100\times\frac{8}{12}=\frac{200}{3}ft^3 \\ \\ \text{ The volume of the 12-inch wall is:} \\ 150\times\frac{12}{12}=150ft^3 \\ \\ \text{ The volume occupied by each brick is constant. Thus,} \\ \frac{Number\text{ of bricks}}{Volume\text{ of wall}}=\text{ Constant} \\ \\ \\ \therefore\frac{200}{3}\times\frac{1}{1233}=\frac{150}{N} \\ \\ \therefore N=\frac{1233\times150\times3}{200} \\ \\ N=2774.25\approx2775\text{ \lparen Round up\rparen} \end{gathered}$

Final Answer

The answer is 2775 bricks