Question

I look like a dice, I have six edges. I can slide down a sloping surface. Who am I?​

Answer 1

Answer:

The correct answer is Tetrahedron dice.

Explanation:

As per the question,

• An object has a shape like a dice which indicates that the object is 3-dimensional  since dice is a 3-dimensional shape (cube). Therefore, the object also has a 3-dimensional shape.
• Now, the object has six edges which indicate that the object is a tetrahedron or triangular pyramid.
• In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons) is a polyhedron made up of four triangular faces, six straight edges, and four vertex corners. It is often referred to as a triangular pyramid.
• Therefore, the object may be a Tetrahedron dice.
• Because a tetrahedron dice also have a pyramidal form with four equilateral triangle-shaped faces, six straight edges, and four vertex corners.

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Answer 2

Answer:

Tetrahedron  - Triangular Pyramid

Step-by-step explanation:

A triangular pyramid is a geometric shape that has a triangular base and three triangular faces. It has a vertex, common to all the three lateral faces of a triangular pyramid If all the three triangular faces are equilateral, then such a pyramid is called a tetrahedron.

• Triangular pyramids are formed solely from triangles. The  3 three triangular sides slant upwards to form the triangular base. As it is formed from four triangles, a triangular-based pyramid is also called a tetrahedron.

Properties of Triangular Pyramid:

• Triangular-based pyramids have 6 edges, 3 are along the base and 3 are extending up from the base. If the six edges are of the same length, all the triangles are equilateral, and the pyramid is called a regular tetrahedron.
• The triangular pyramid has 4 faces.

• The base of a triangular pyramid is also a triangle which means there are 4 triangular faces in a triangular pyramid.
• It has 4 vertices(corner points).
• There are three types of triangular pyramids. They are regular, irregular and right-angled triangular pyramids.
• The base of the pyramid could be based on different types of triangles. If all the faces are equilateral triangles or triangles whose edges are all equal lengths, the pyramid is called a regular tetrahedron.
• If the triangles have edges of various lengths, the pyramid is an irregular tetrahedron.

Volume of Triangular Pyramid:

volume = 1/3 × Base Area × Height

Surface Area of Triangular Pyramid:

surface area = (Base Area) + 1/2 ×Perimeter × (slant length)

Therefore, tetrahedron - triangular pyramid is the 3D shape, looks like a dice, have six edges. It can slide down a sloping surface.

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