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If two equal tetrahedrons are joined through their base triangles, by sticking, then the shape generated will be a :
- a)Tetrahedron
- b)Hexahedron
- c)Dodecahedron
- d)Decahedron
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If two equal tetrahedrons are joined through their base triangles, by ...
A hexahedron can be generated by sticking two equal tetrahedrons through their base.
Most Upvoted Answer
If two equal tetrahedrons are joined through their base triangles, by ...
Tetrahedron
When two equal tetrahedrons are joined through their base triangles, the resulting shape is a hexahedron, also known as a cuboid or rectangular prism.
Explanation:
To understand why the resulting shape is a hexahedron, let's break down the process step by step.
Step 1: Start with two equal tetrahedrons.
A tetrahedron is a three-dimensional shape with four triangular faces, four vertices, and six edges. It is a pyramid with a triangular base.
Step 2: Join the tetrahedrons through their base triangles.
Take two tetrahedrons and position them so that their base triangles are facing each other. Stick the base triangles together, creating a shared face between the two tetrahedrons.
Step 3: Analyze the resulting shape.
After joining the tetrahedrons, we can observe that the shared face forms a rectangle, while the other faces of the tetrahedrons remain unchanged. This new shape has six faces, eight vertices, and twelve edges.
Step 4: Identify the resulting shape.
The shape that has been formed by joining the tetrahedrons through their base triangles is a hexahedron or a cuboid. A hexahedron is a polyhedron with six faces, and in this case, all the faces are rectangles.
Conclusion:
In conclusion, when two equal tetrahedrons are joined through their base triangles, the resulting shape is a hexahedron or a cuboid. This can be visualized as sticking two pyramids together at their triangular bases to create a rectangular prism-like shape.
When two equal tetrahedrons are joined through their base triangles, the resulting shape is a hexahedron, also known as a cuboid or rectangular prism.
Explanation:
To understand why the resulting shape is a hexahedron, let's break down the process step by step.
Step 1: Start with two equal tetrahedrons.
A tetrahedron is a three-dimensional shape with four triangular faces, four vertices, and six edges. It is a pyramid with a triangular base.
Step 2: Join the tetrahedrons through their base triangles.
Take two tetrahedrons and position them so that their base triangles are facing each other. Stick the base triangles together, creating a shared face between the two tetrahedrons.
Step 3: Analyze the resulting shape.
After joining the tetrahedrons, we can observe that the shared face forms a rectangle, while the other faces of the tetrahedrons remain unchanged. This new shape has six faces, eight vertices, and twelve edges.
Step 4: Identify the resulting shape.
The shape that has been formed by joining the tetrahedrons through their base triangles is a hexahedron or a cuboid. A hexahedron is a polyhedron with six faces, and in this case, all the faces are rectangles.
Conclusion:
In conclusion, when two equal tetrahedrons are joined through their base triangles, the resulting shape is a hexahedron or a cuboid. This can be visualized as sticking two pyramids together at their triangular bases to create a rectangular prism-like shape.
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If two equal tetrahedrons are joined through their base triangles, by sticking, then the shape generated will be a :a)Tetrahedronb)Hexahedronc)Dodecahedrond)DecahedronCorrect answer is option 'B'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If two equal tetrahedrons are joined through their base triangles, by sticking, then the shape generated will be a :a)Tetrahedronb)Hexahedronc)Dodecahedrond)DecahedronCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two equal tetrahedrons are joined through their base triangles, by sticking, then the shape generated will be a :a)Tetrahedronb)Hexahedronc)Dodecahedrond)DecahedronCorrect answer is option 'B'. Can you explain this answer?.
If two equal tetrahedrons are joined through their base triangles, by sticking, then the shape generated will be a :a)Tetrahedronb)Hexahedronc)Dodecahedrond)DecahedronCorrect answer is option 'B'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If two equal tetrahedrons are joined through their base triangles, by sticking, then the shape generated will be a :a)Tetrahedronb)Hexahedronc)Dodecahedrond)DecahedronCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two equal tetrahedrons are joined through their base triangles, by sticking, then the shape generated will be a :a)Tetrahedronb)Hexahedronc)Dodecahedrond)DecahedronCorrect answer is option 'B'. Can you explain this answer?.
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