How much concrete should be ordered for a machine base that is 8 inches thick, 12 feet long, and 8 feet wide?

To determine the correct amount of concrete needed for the machine base, it is essential to first convert all dimensions into the same units, typically feet.

• The thickness of the concrete is 8 inches, which can be converted into feet by dividing by 12 (since there are 12 inches in a foot):

8 inches ÷ 12 = 0.6667 feet.

Now, the dimensions in feet are:

• Length = 12 feet

• Width = 8 feet

• Thickness = 0.6667 feet.

Next, we can calculate the volume of the concrete required using the formula for the volume of a rectangular prism (Length × Width × Height or Thickness):

Volume = Length × Width × Height

Volume = 12 feet × 8 feet × 0.6667 feet = 64 cubic feet.

This calculation confirms that the correct amount of concrete needed for the machine base is indeed 64 cubic feet. Ordering the appropriate amount ensures that there will be enough concrete to create a solid and stable base for the machinery, while also minimizing waste. The volumes in the other choices represent either a miscalculation or a misunderstanding of the dimensions provided.