Question

which prism has an volume of 6 cubic units?11\frac{1}{2}31\frac{1}{2}22

Explanation:

Step1: Calculate the volume of the first prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the first prism, \(l = 3\), \(w = 1\frac{1}{2}=\frac{3}{2}\), \(h = 1\). Then \(V_1=3\times\frac{3}{2}\times1=\frac{9}{2} = 4.5\) cubic units.

Step2: Calculate the volume of the second prism

For the second prism, \(l = 2\), \(w = 2\), \(h = 1\frac{1}{2}=\frac{3}{2}\). Then \(V_2=2\times2\times\frac{3}{2}=6\) cubic units.

Answer:

The second prism.