The expression that represents the height of the oblique prism is: 1/2x.
What is the Volume of a Prism?
Prism Volume = base area × height of the prism
Given that the oblique prism has:
Volume = 1/2x³ cubic units
edge length = x units
Therefore,
base area = x²
Thus:
1/2x³ = (x²)(height)
Divide both sides by x²
1/2x³ ÷ x² = height
1/2x³ × 1/x² = height
x³/2 × 1/x² = height
height = x³/2x²
height = x/2
Therefore, the expression that represents the height of the oblique prism is: 1/2x.
Learn more about oblique prism
brainly.com/question/20837986
#SPJ4
The complete question is -
An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?