Answer: a = -4
Step-by-step explanation:
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
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<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?
A theorem requires a proof.
11.05 inches.
EXPLANATION:
Firstly, lets see the unit rate for how many inches per minute.
5.2 divided by 8 is 0.65 inches every minute.
Now since there is 17 mins, simply do 0.65 inches per min x 17 mins.
11.05 inches.
Hope this helps!
You need to find the area of this