Question

(b) the other block has a length of $5\frac{1}{2}$ in, a width of 3 in, and a height of 2 in. find its volume.

Explanation:

Step1: Convert the mixed number to an improper fraction

The length \(5\frac{1}{2}=\frac{5\times2 + 1}{2}=\frac{11}{2}\) inches.

Step2: Use the volume formula for a rectangular prism \(V=l\times w\times h\)

Here, \(l = \frac{11}{2}\) in, \(w = 3\) in, \(h=2\) in.
\(V=\frac{11}{2}\times3\times2\)

Step3: Simplify the expression

First, \(\frac{11}{2}\times2 = 11\) (the \(2\) in the numerator and denominator cancel out). Then \(11\times3=33\)

Answer:

\(33\)