Question

a small storage room has a length of 4 meters, a width of 2.5 meters, and a height of 3 meters. inside the room, there is an old cabinet that has half the length, half the width, and half the height of the room. which number sentence shows the volume of the cabinet in cubic meters?

$\frac{4}{2}+\frac{2.5}{2}+\frac{3}{2}=4.75$ cubic meters

$2(4)\times2(2.5)\times2(3)=240$ cubic meters

$\frac{4}{2}\times\frac{2.5}{2}\times\frac{3}{2}=3.75$ cubic meters

$4\times2.5\times3=30$ cubic meters

Explanation:

Step1: Calculate the dimensions of the cabinet

The length of the cabinet is \(\frac{4}{2}\) meters, the width is \(\frac{2.5}{2}\) meters, and the height is \(\frac{3}{2}\) meters.

Step2: Use the volume formula \(V = l\times w\times h\)

The volume formula for a rectangular - prism (which the cabinet is) is \(V=l\times w\times h\). Substituting the values of length \(l = \frac{4}{2}\), width \(w=\frac{2.5}{2}\), and height \(h = \frac{3}{2}\) into the formula, we get \(V=\frac{4}{2}\times\frac{2.5}{2}\times\frac{3}{2}\).

Answer:

\(\frac{4}{2}\times\frac{2.5}{2}\times\frac{3}{2}=3.75\) cubic meters (the third option)