Answer:
w = 4 m
Step-by-step explanation:
The volume (V) of a cuboid is
V = lwh ( l is length, w is width and h is height )
Given V = 144 m³, then
lwh = 144 ( substitute l = 3 and h = 12 )
3 × w × 12 = 144
36w = 144 ( divide both sides by 36 )
w = 4
The volume of a rectangular prism is given by the product of its dimension: let w, h, l be the width, height and length of the prism, we have
[tex]V = whl[/tex]
In your case, everything is given except the width:
[tex]144 = w\cdot 3 \cdot 12 \iff 144 = 36w \iff w = \dfrac{144}{36} = 4[/tex]