A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АЛ
A. The vertical cross-sections of the prisms at the same width must
have the same area.
B. The area of the cross-sections of the prisms are multiples of each
other.
C. The cross-sections of the prisms are the same shape.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.
Answers
Answer:
D. The horizontal cross-sections of the prisms at the same height must have the same area.
Step-by-step explanation: I dont know what the guy above is saying but this is the right answer
Since it is given that both prisms have the same height and volume, the answer is option D. The horizontal cross-sections of the prisms at the same height must have the same area.
A solid figure is one which has surface area and volume. Examples are prisms, cube, cuboid etc. Thus cones and pyramids are solid figures.
From the given question,
Volume of a cone, V = [tex]\frac{1}{3}[/tex][tex]\pi r^{2} h[/tex]
where r is its radius, and h its height
also,
Volume of a pyramid, V = [tex]\frac{1}{3}[/tex] lwh
where l is its length, w is the base width and h is its height.
Given that: i. volume of cone = volume of pyramid
ii. height of cone = height of pyramid
Then,
[tex]\frac{8}{3}[/tex][tex]\pi r^{2}[/tex] = [tex]\frac{8}{3}[/tex]lw
[tex]\pi r^{2}[/tex] = lw
Thus it can be deduced that at the same height, the horizontal cross section of the prisms have equal area. So that option D is the appropriate answer to the given question.
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Answer:
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Which of the following is a step that can be used to find the solution to the set of equations? (4 points)
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b
x + 8 = 3x + 6
c
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d
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Answer:
B. X+8=3x+6
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
c-the missing length
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What is the missing length? 6x-4