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Chapter 10: Problem 40

What is the cost of concrete for a walkway that is 15 feet long, 8 feet wide, and 9 inches deep if the concrete costs \(\$ 30\) per cubic yard?

Short Answer

Expert verified
The cost of concrete for the walkway is approximately \$100.2.

Step by step solution

01

Convert measurements to yards

Given, the length of the walkway as 15 feet, width as 8 feet, and depth as 9 inches. Convert these measurements into yards because the cost of concrete is given per cubic yard. 1 yard equals 3 feet, hence the length becomes \(\frac{15}{3} = 5\) yards, the width becomes \(\frac{8}{3}= 2.67\) yards (rounded to two decimal places). 1 yard equals 36 inches, hence the depth becomes \(\frac{9}{36} = 0.25\) yards.
02

Calculate the volume of the walkway

The volume of the walkway can be obtained by multiplying length, width, and depth. Hence, the volume is \(5 \times 2.67 \times 0.25 = 3.34\) cubic yards (rounded to two decimal places).
03

Calculate the cost

Given that the concrete costs $30 per cubic yard, the total cost can be calculated by multiplying the volume of the walkway and cost of concrete per cubic yard. Hence, the cost is \(3.34 \times 30 = \$100.2\).

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