Which of the following has a circular cross section when the cross section is taken parallel to the base?
A cone
B. dodecahedron
C. rectangular prism
D. octahedron
Please select the best answer from the choices provided
A
B
O
C
O
C
D
13

Question

10-06-2024
Mathematics

Answered

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Which of the following has a circular cross section when the cross section is taken parallel to the base?
A cone
B. dodecahedron
C. rectangular prism
D. octahedron
Please select the best answer from the choices provided
A
B
O
C
O
C
D
13

Sagot :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-06-10T13:45:05-04:00

To determine which shape has a circular cross section when the cross section is taken parallel to the base, let's analyze the given shapes:

A. Cone: A cone has a circular base. When a cross section is taken parallel to its base, it will create a smaller circle that is parallel to and centered around the same central axis as the base.

B. Dodecahedron: A dodecahedron is a polyhedron with twelve flat faces, each of which is a regular pentagon. It does not have a circular cross section when cut parallel to any face.

C. Rectangular Prism: A rectangular prism has rectangular faces. When a cross section is taken parallel to its base, it will create a smaller rectangle, not a circle.

D. Octahedron: An octahedron has eight triangular faces. Similar to the dodecahedron, it does not have circular cross sections parallel to any of its triangular faces.

From this analysis, the shape that has a circular cross section when the cross section is taken parallel to the base is the cone. Thus, the best answer is:

A. Cone

Sagot :

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