Question

a rectangular prism measures $2\frac{1}{2}$ centimeters by 8 centimeters by $1\frac{1}{2}$ centimeters. what is its volume?

Explanation:

Step1: Convert mixed numbers to improper fractions

The dimensions are \(2\frac{1}{2}=\frac{5}{2}\), \(8 = \frac{8}{1}\), and \(1\frac{1}{2}=\frac{3}{2}\).

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

Substitute the values into the formula: \(V=\frac{5}{2}\times8\times\frac{3}{2}\).
First, multiply \(\frac{5}{2}\times8\): \(\frac{5}{2}\times8=\frac{5\times8}{2}= 20\).
Then, multiply the result by \(\frac{3}{2}\): \(20\times\frac{3}{2}=\frac{20\times3}{2}= 30\).

Answer:

The volume of the rectangular prism is 30 cubic centimeters.