Lets write formulas for volume of both cone and can
Cone:
Vc = Bc*Hc/3
Can:
V = B*H
where B is basis and H is height for each
Now because cone fits perfectly inside can that means that both B and H are the same
from this we can see that cone has 3 times less volume than a can that cone is inside of.
if can has 36 volume that means that cone has:
36/3 = 12 volume
Answer is 12.
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?
Answer:
Step-by-step explanation:
Find the area of each shape (rectangle and triangle) and then add the areas together.
Area of rectangle:
A = bh
A = 14*12 = 168 cm2
Area of triangle:
A = 1/2*bh
A = 1/2(16)(21 - 12)
A = 1/2(16)(9)
A = 1/2(144)
A = 72 cm2
Add areas together: (area of the whole shape)
168 + 72 = 240 cm2
Answer:
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Step-by-step explanation:
if 1 inch equals 2.54 cm then 5ft will be:
=5*2.54
=12.7 cm
therefore, sara's height in centimeter:
=12.7+10
=22.7 cm
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