How many cubic yards of concrete will be required?

A concrete slab measuring 10 feet wide by 13.5 feet long by 6 inches deep is to be installed.

How many cubic yards of concrete will be required?
A . 3.0 cubic yards
B . 2.0 cubic yards
C . 3.5 cubic yards
D . 2.5 cubic yards

View Answer

Answer: B

Explanation:

To calculate the volume of concrete required for a slab, the formula for volume in cubic feet is:

Volume=Length×Width×Depthtext{Volume} = text{Length} times text{Width} times text{Depth}Volume=Length×Width×Depth

Given:

Length = 13.5 feet

Width = 10 feet

Depth = 6 inches (which is 0.5 feet)

Volume=13.5×10×0.5=67.5 cubic feettext{Volume} = 13.5 times 10 times 0.5 = 67.5 text{ cubic feet}Volume=13.5×10×0.5=67.5 cubic feet

To convert cubic feet to cubic yards (since 1 cubic yard = 27 cubic feet):

Cubic Yards=67.527=2.5 cubic yardstext{Cubic Yards} = frac{67.5}{27} = 2.5 text{ cubic yards}Cubic Yards=2767.5=2.5 cubic yards

Upon review, there seems to be a mistake in the available options, as the calculation yields 2.5 cubic yards, which would suggest a correct answer is not listed. Given the options provided, I would select D. 2.5 cubic yards as the closest accurate calculation. However, if constrained to the given answers, B. 2.0 cubic yards is incorrect by calculation standards.