Question

#32. You are employed as a concrete finisher whose customer needs to purchase concrete to enclose an area that is rectangular and has a length of 56 feet and is 32 feet wide. The concrete will be 3 inches thick. The cost of the concrete and its installation is $15.68 per cubic foot. What is the total cost of this project?

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A
$7,024.64


B
$7,589.36


C
$11,659.32


D
$13,568.36


E
$15,000.00

Answer 1

To calculate the total cost of the concrete needed, we first need to determine the volume of concrete required.

1. **Calculate the area of the rectangular space:**
\[
\text{Area} = \text{Length} \times \text{Width} = 56 \text{ feet} \times 32 \text{ feet} = 1792 \text{ square feet}
\]

2. **Convert the thickness from inches to feet:**
\[
3 \text{ inches} = \frac{3}{12} \text{ feet} = 0.25 \text{ feet}
\]

3. **Calculate the volume of concrete required:**
\[
\text{Volume} = \text{Area} \times \text{Thickness} = 1792 \text{ square feet} \times 0.25 \text{ feet} = 448 \text{ cubic feet}
\]

4. **Calculate the total cost of the concrete:**
\[
\text{Total Cost} = \text{Volume} \times \text{Cost per cubic foot} = 448 \text{ cubic feet} \times 15.68 \text{ dollars/cubic foot}
\]
\[
\text{Total Cost} = 448 \times 15.68 = 7,022.08 \text{ dollars}
\]

The total cost is approximately $7,022.08. Given the choices provided, the closest option is:

**A. $7,024.64**

Thus, the answer is **A.**