Math CentralQuandaries & Queries


Question from Chris, a student:

A homeowner needs to replace a driveay which is 12 feet wide and 90 feet long. The old driveway needs to be dug out. It is 9 inches deep. It costs $35 per cubic yard to remove the old driveway and $75 per cubic yard to lay the new one. What will be the cost of the complete job?

Hi Chris,

Each cubic yard of driveway costs $110 to replace, $35 to remove what is there and $75 to lay the new concrete. Using the facts that there are 3 feet in a yard and 36 inches in a yard convert each measurement to yards, multiply them together to obtain the volume in cubic yards and the multiply by $110 to find the cost. You can check your volume calculation using our volume calculator at


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