Given in the question:
a.) Volume of box = 120 cm³
b.) Length = l = 3 cm
c.) Height = h = 5 cm
In finding the measurement of the width (w) of the box, let's first recall the formula in finding its volume and reconstruct it into an equation in terms of width.
[tex]\text{Volume = l x w x h}[/tex]
Step 1: Reconstruct the volume formula in terms of width.
[tex]\text{Volume = l x w x h}[/tex][tex]\frac{\text{Volume}}{l\text{ x h}}\text{ = w }\rightarrow\text{ w = }\frac{\text{Volume}}{l\text{ x h}}[/tex]
Step 2: Substitute the given values (volume, height, and length) in the formula to get the measurement of the width.
[tex]\text{w = }\frac{\text{Volume}}{l\text{ x h}}[/tex][tex]\text{w = }\frac{120cm^3}{(3\text{ cm)(5 cm)}}[/tex][tex]\text{w = }\frac{120cm^3}{15cm^2}\text{ = }\frac{120}{15}cm^{3-2}[/tex][tex]\text{w = 8 }cm^1\text{ = 8 cm}[/tex]
Therefore, the measurement of the width of the box is 8 cm.
