Question

1. find the volume. v = lwh 6 in. 2\frac{2}{3} in. 3\frac{1}{2} in. type a response

Explanation:

Step1: Convert mixed numbers to improper fractions

\(2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{8}{3}\), \(3\frac{1}{2}=\frac{3\times2+1}{2}=\frac{7}{2}\)

Step2: Substitute into the volume formula \(V = LWH\)

\(V=\frac{8}{3}\times\frac{7}{2}\times6\)

Step3: Simplify the expression

First, \(\frac{8}{3}\times\frac{7}{2}=\frac{8\times7}{3\times2}=\frac{56}{6}=\frac{28}{3}\)
Then, \(\frac{28}{3}\times6 = 28\times2=56\)

Answer:

\(56\) cubic inches