How many cubic yards of concrete are required for a basement floor measuring 24' x 54' and 4" thick?

Prepare for the Modern Carpentry Test with detailed flashcards and multiple choice questions, packed with hints and explanations. Ace your exam with ease!

To calculate the volume of concrete needed for the basement floor, you start with the dimensions of the area. The dimensions given are 24 feet by 54 feet and the thickness of the concrete is 4 inches.

First, convert all measurements to the same units. Since the thickness is in inches, convert it to feet. There are 12 inches in a foot, so:

4 inches ÷ 12 = 1/3 feet (or approximately 0.33 feet).

Next, calculate the volume in cubic feet by using the formula for volume, which is length × width × height. Here, it would be:

24 feet × 54 feet × (1/3 feet) = 24 × 54 / 3 = 432 cubic feet.

Now, to convert cubic feet to cubic yards (since there are 27 cubic feet in a cubic yard), divide the cubic feet by 27:

432 cubic feet ÷ 27 = 16 cubic yards.

Therefore, the total volume of concrete required for the basement floor is 16 cubic yards. This is why the answer is correct; it accurately reflects the calculations based on the dimensions and thickness provided in the question.

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