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Lina20 [59]
3 years ago
6

(05.04 MC) An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of th

e rectangular pyramid is cut with a plane perpendicular to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points) Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, but not passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points) Your answer:
Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b)  If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

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Answer:

See explanation

Step-by-step explanation:

The question has missing details, as the diagram of the prism is not shown.

However, I'll solve using a general rule.

The volume of a triangular prism is:

Volume = \frac{1}{2}* b * h * l

Where

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h = height

l = length

Take for instance:

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h = 10cm

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Another instance (see attachment).

From the attachment:

b = 4.5cm

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l = 8cm

The volume is:

Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm

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