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.
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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?
Triangular prism and rectangular prism
Answer:
Step-by-step explanation:
-32x+45-7(2x-9)=101
parenthesis first
-32x+45-14x+63=101
just combine like terms
-46x+108=101
minus 108 both sides
-46x= -7
answer is x 7 over 46
I don’t think he did distributive property
Answer:
There are 80 paperbacks on the shelf
Step-by-step explanation:
Multiply 2/3 by 120
So that would be:
2/3 x 120/1
(2 x 120)/(3x1)=240/3=80
