Question

Can someone help with this question?

Answer 1

w = 4 m

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

Answer 2

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

`V = whl`

In your case, everything is given except the width:

`144 = w\cdot 3 \cdot 12 \iff 144 = 36w \iff w = (144)/(36) = 4`