Dan wants to pour a concrete patio in his backyard. He measures the length, width, and thickness of the patio and finds that the amount of concrete he needs is 200ft^2. When he called the concrete company they asked him how many cubic yards of concrete does he need.

200ft^*144n^2/1ft^2

Please check for typos !!

If you used length, width and thickness you probably mean ft^3 not ft^2.

That messed you up big time when you wrote 144 which is square inches per square foot.

What you want is CUBIC feet per CUBIC yard
which is 3^3 = 27 ft^3/yd^3
( despite the fact that contractors simply say "yards" they mean "cubic yards" :)

200 ft^3 * 1 yd^3/27 ft^3 = 7.4 yds^3
so order 8

To convert the area from square feet to cubic yards, you need to consider the thickness of the concrete.

Given:
Area of the patio = 200 ft^2

To convert the area from square feet to cubic yards, you need to multiply it by the thickness of the concrete. Let's assume the thickness is t feet.

So, the volume of the concrete needed will be:
Volume = area * thickness
Volume = 200 ft^2 * t ft

To convert the volume from cubic feet to cubic yards, you need to divide it by 27 (since there are 27 cubic feet in one cubic yard).

Now let's calculate the volume of concrete needed in cubic yards:

Volume in cubic yards = (200 ft^2 * t ft) / 27

Since we don't have the thickness value (t), we cannot directly calculate the volume in cubic yards. Please provide the thickness in feet, and I can help you with the calculation.