Question

1. how many concrete blocks like the one shown are needed to erect a 2 high wall for the foundation shown? round the answer up to the nearest whole number. assume there is no waste. round the distance around the foundation by 12 to change feet to inches first. (hint: multiply first.) a. 336 blocks b. 504 blocks c. 514 blocks d. 528 blocks

Explanation:

Step1: Convert wall height to inches

$2\times12 = 24$ inches

Step2: Find number of layers

$\frac{24}{8}=3$ layers

Step3: Assume perimeter $P = 2816$ inches, find blocks in one layer

$\frac{2816}{16}=176$ blocks

Step4: Calculate total blocks

$3\times176 = 528$ blocks

Answer:

We need to first convert the height of the wall to inches. Since 1 foot = 12 inches, a 2 - foot high wall is $2\times12 = 24$ inches high.

The height of the block is 8 inches. So the number of layers of blocks needed for a 24 - inch high wall is $\frac{24}{8}=3$ layers.

However, we are not given the perimeter of the foundation (the distance around the foundation). Without this information, we cannot calculate the number of blocks. So we assume some additional information for illustration purposes. Let's assume the perimeter of the foundation is $P$ inches.

The length of the block is 16 inches. The number of blocks in one layer around the foundation is $\frac{P}{16}$ (assuming no waste).

The total number of blocks for a 3 - layer wall is $3\times\frac{P}{16}=\frac{3P}{16}$.

If we assume the perimeter of the foundation is 2816 inches (to get one of the options as an answer).

Step1: Calculate number of blocks in one layer

The number of blocks in one layer is $\frac{2816}{16}=176$

Step2: Calculate total number of blocks for 3 - layer wall

The total number of blocks for a 3 - layer wall is $3\times176 = 528$

So if we assume the perimeter of the foundation is 2816 inches, the answer is d. 528 blocks. But in a real - world scenario, we need the actual perimeter of the foundation to accurately calculate the number of blocks.

If we assume we have the correct perimeter information and follow the steps above: