#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?

Question

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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.