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?
Answer:
y=2/3x+14
Step-by-step explanation:
The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14
The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:
0=2/3x+14
-14=2/3x
21=x
So the x-intercept is 21
The measure of a supplement of an angel is 6 times the measurement of the complement angle.
Either X or Y is negative. One has to be
If 6 oranges cost 3.60 than one orange costs .60. To find, divide total price by number of oranges.
3.60/6 = .60
There is no set of pound in a gallon because we do not know the substance. Different liquids weigh different amounts.
3.5 gallons is equal to 448 ounces. To find, multiply the number of gallons (3.5) by the amount of ounces in a gallon (128)
3.5 * 128 = 448
Pound and pints are like gallons and pound. Unless we know the substance we cannot solve.
.75 pints is equal to 12 ounces. To find that, we multiply the number of pints (.75) by the number of ounces in a pint (16)
.75 * 16 = 12
