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:x=-2
Step-by-step explanation: -1=3/2x+2
is the answer.
This is because the slop is found by the difference of ys over the difference of xs.
Answer:
$21
Step-by-step explanation:
40% of 15 is 6, and 15 + 6 is 21
Answer:
94 pizzas will be sold
Step-by-step explanation:
We have to use the equation and replace 15 with x.
x=15
y=3.4x + 43
y=3.4(15) + 43
y=51 + 43
y=94
(15,94)
There will be 94 pizzas sold nightly if 15 coupons were issued.
