The slant height h is equal to [tex]\frac{3V}{lw}[/tex].
What is a rectangular pyramid?
A rectangular pyramid is a three-dimensional object with a base shaped like a rectangle and triangle-shaped faces or sides that correspond to each side of the base.
According to the give problem,
V = [tex]\frac{1}{3}[/tex] lwh
Where, V = Volume
l = length of rectangular base
w = width of the rectangular base
h = slant height
Now, solving for h,
⇒ V = [tex]\frac{1}{3}[/tex] lwh
⇒ 3V = lwh
or, lwh = 3V
⇒ wh = [tex]\frac{3V}{l}[/tex]
⇒ h = [tex]\frac{3V}{lw}[/tex]
Hence, we can conclude that the slant height of the rectangular pyramid is equal to [tex]\frac{3V}{lw}[/tex]
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