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Answer :
The volume of concrete it would it take to pour a driveway that measures 18′ by 42′ and 10″ thick is equal to 23.33 cubic yard.
What is a conversion factor?
In Mathematics, a conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by multiplying or dividing.
Additionally, an appropriate conversion factor to an equal unit of value must be chosen and used when it is necessary to perform any mathematical conversion.
Note: The double quotation mark " is a notation that represent inches while the apostrophe mark ' represents foot.
Next, we would convert the unit in inches to feet:
1 inch = 0.0833333 feet.
10 inches = 10 × 0.0833333 = 0.833333 feet.
For the volume of concrete required, we have:
Volume of concrete = Length × Width × Thickness
Volume of concrete = 18 × 42 × 0.833333
Volume of concrete = 629.999748 cubic feet.
Also, we would convert cubic feet to cubic yard:
1 cubic feet = 0.037037 cubic yard
629.999748 cubic feet = x cubic yard
Cross-multiplying, we have:
Volume of concrete = 629.999748 × 0.037037
Volume of concrete = 23.33 cubic yard.
Read more on volume of concrete here: https://brainly.com/question/17387567
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To calculate the volume of concrete for the driveway, convert the thickness to feet, find the volume in cubic feet using the length, width, and thickness, and then convert cubic feet to cubic yards. Approximately 23.32 cubic yards of concrete are needed for a driveway measuring 18' by 42' with a 10" thickness.
The question involves calculating the volume of concrete needed for a driveway, and then converting that volume into cubic yards. To find the volume of the driveway, we use the formula for the volume of a rectangular prism (Volume = length * width * height).
First, we need to convert the thickness from inches to feet (as there are 12 inches in a foot), so 10 inches is equivalent to [tex]\frac{10}{12}[/tex] feet or approximately 0.833 feet. Then, we calculate the volume in cubic feet:
- Length (in feet): 18'
- Width (in feet): 42'
- Thickness (in feet): 0.833'
Volume = 18' * 42' * 0.833' = 629.748 cubic feet
Now, we convert the volume from cubic feet to cubic yards, knowing that 1 cubic yard is equal to 27 cubic feet:
Volume in cubic yards = [tex]\frac{629.728}{27}[/tex]
extapprox 23.32 cubic yards
Thus, it will take approximately 23.32 cubic yards of concrete to pour a driveway that is 18' by 42' and 10" thick.
