The expression that represents the height of the oblique prism is: 1/2x.
What is the Volume of a Prism?
- The volume of a prism is defined as the total space occupied by the three-dimensional object.
- Mathematically, it is defined as the product of the area of the base and the length.
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
<u>The complete question is -</u>
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?
(-2)^2 + 3(-2) + 1
4-6+1
-1
Formula for Circumference is 2*Pi*radius
1. 18.84 in.
2. 56.52 cm
3. 4.71 ft
4. 25.12 m
5. 37.68 ft.
6. 12.56 yd.
7. 43.96 in
8. 28.26 cm
9. 7.85 m
It would be B, 6.5 inches
