You are building a floating deck, one that stays on top of the ground using concrete bases, instead of posts dug into the ground. You need to pour 15 bases using molds you found at an estate sale. Unfortunately, the dimensions on these forms are measured in centimeters, and are in the shape of a square frustum. The frustum has a height of 20cm, and the two square bases measure 30x30cm and 20x20cm. This makes it a bit difficult to calculate how much concrete to buy. The bags of concrete are either 60-pound bags (which the bag says is equivalent to 0.017 cubic yards) or 80-pound bags (0.022 cubic yards). The cost difference between the two bags of concrete are proportional to their size, so it doesn't matter which size you buy, but you don't want to waste any.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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You are building a floating deck, one that stays on top of the ground using concrete bases, instead of posts dug into the ground. You need to pour 15 bases using molds you found at an estate sale. Unfortunately, the dimensions on these forms are measured in centimeters, and are in the shape of a square frustum. The frustum has a height of 20cm, and the two square bases measure 30x30cm and 20x20cm.

This makes it a bit difficult to calculate how much concrete to buy. The bags of concrete are either 60-pound bags (which the bag says is equivalent to 0.017 cubic yards) or 80-pound bags (0.022 cubic yards). The cost difference between the two bags of concrete are proportional to their size, so it doesn't matter which size you buy, but you don't want to waste any.  

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