Question

we need to buy mulch to cover an area 81/2 ft x 3ft x 6in. how many cubic feet of mulch are needed? cubic feet of mulch =

Explanation:

Step1: Convert inches to feet

Since \(1\) foot \( = 12\) inches, then \(6\) inches \(=\frac{6}{12}=0.5\) feet.

Step2: Convert mixed - number to improper fraction

\(8\frac{1}{2}=\frac{8\times2 + 1}{2}=\frac{17}{2}\) feet.

Step3: Calculate the volume

The volume \(V\) of a rectangular prism (the shape of the area to be covered) is given by \(V=l\times w\times h\). Here, \(l = \frac{17}{2}\) feet, \(w = 3\) feet, \(h=0.5\) feet.

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Answer:

\(12.75\) cubic feet.