Question

Colin is buying dirt to fill a garden bed that is a 9 ft by 16 ft rectangle. If he wants to fill it to a depth of 4 in., how many cubic yards of dirt does he need? If dirt costs $25 per yd3, how much will the project cost? (Hint: 1yd3=27 ft3).

Answer 1

Find the volume of the rectangular prism.

V = lwh

V = (9)(16)(4)

V = 756 ft^3

Convert to cubic yards:

1 ft^3 = 0.037037037 yd^3

756 * 0.037037037 = 28

So there are 28 cubic yards of dirt he needs.

Multiply this to 25 to find the total cost of the dirt:

28 * 25 = 700

So the project will cost $700