Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - Chapter Summary, Review, and Test - Review Exercises - Page 683: 58

Answer

The cost of concrete for a walkway is\[\$80\].

Work Step by Step

Calculate the volume of the concrete as follows: \[\begin{align} & \text{volume of the concrete}=27\text{ ft}\times 4\text{ ft}\times \frac{1}{12}\text{ft} \\ & =54\text{ f}{{\text{t}}^{3}} \end{align}\] It is know that 1 cubic yard is equal to 27 cubic feet. Convert the cubic feet into yard as follows: \[\begin{align} & \text{54 f}{{\text{t}}^{3}}=\text{54 }f{{t}^{3}}\times \frac{1\text{ y}{{\text{d}}^{3}}}{27\text{ }f{{t}^{3}}} \\ & =\frac{54}{27}\text{ y}{{\text{d}}^{3}} \\ & =2\text{ y}{{\text{d}}^{3}} \end{align}\] Now, compute the cost as follows: \[\begin{align} & \text{Cost of the concrete}=2\text{ y}{{\text{d}}^{3}}\times \$40\\&=\$80\end{align}\] Hence, the cost of concrete for a walkway is\[\$80\].
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