SOLUTION: How would I solve the following question: Use 6 unit multipliers to convert 500in (cubed) to yards (cubed). I need to show each step. Thank you for your help!

Question 1177384: How would I solve the following question:
Use 6 unit multipliers to convert 500in (cubed) to yards (cubed).
I need to show each step.
Thank you for your help!
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
500 * 1/12 * 1/12 * 1/12 * 1/3 * 1/3 * 1/3 equals:
500 * (1/12) ^ 3 * (1/3) ^ 3 equals:
.0107167353 cubic yards.

this is the same as:

500 / (12 * 12 * 12 * 3 * 3 * 3) which equals:
500 / (12^3 * 3^3) which equals:
.0107167353 cubic yards.

1 cubic yard is equal to 3 * 3 * 3 cubic feet.
1 cubic foot is equal to 12 * 12 * 12 cubic inches.

if you have .0107167353 cubic yards, .....
multiply them by (3 * 3 * 3) to get .2893518519 cubic feet, and then, .....
multiply that by (12 * 12 * 12) to get 500 cubic inchea.

when you convert cubic inches to cubic yards, your 6 multipliers are:
1/12 * 1/12 * 1/12 * 1/3 * 1/3 * 1/3.

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