Explorando Sólidos Geométricos

Which of the following is a three-dimensional geometric solid?

• Square

• Cube

• Triangle

• Circle

Answer explanation

A cube is a three-dimensional geometric solid with length, width, and height. In contrast, a square and a triangle are two-dimensional shapes, while a circle is also two-dimensional. Therefore, the correct answer is a cube.

Which geometric solid has 6 faces, all of which are rectangles?

• Cube

• Rectangular prism

• Cylinder

• Pyramid

Answer explanation

The geometric solid with 6 faces, all of which are rectangles, is a rectangular prism. A cube is a special case of a rectangular prism where all faces are squares, but the question specifies rectangles.

What is the total number of edges in a regular tetrahedron?

• 4

• 6

• 8

• 12

Answer explanation

A regular tetrahedron has 4 triangular faces, and each face shares its edges with adjacent faces. Counting the edges, there are 6 unique edges in total, making the correct answer 6.

Which solid has only one vertex?

• Cube

• Cone

• Cylinder

• Rectangular prism

Answer explanation

A cone has a circular base and a single vertex at the top, making it the only solid listed with just one vertex. In contrast, a cube, cylinder, and rectangular prism have multiple vertices.

How many faces does a regular octahedron have?

• 6

• 8

• 10

• 12

Answer explanation

A regular octahedron has 8 triangular faces. It is one of the five Platonic solids, characterized by its symmetrical shape and equal face sizes, confirming that the correct answer is 8.

Which of the following solids does NOT have any edges?

• Sphere

• Cube

• Cylinder

• Pyramid

Answer explanation

A sphere is a perfectly round solid with no edges or vertices, unlike a cube, cylinder, and pyramid, which all have distinct edges. Therefore, the correct answer is the sphere.

Which solid has two parallel, congruent circular bases?

• Cone

• Cylinder

• Sphere

• Pyramid

Answer explanation

A cylinder is defined by having two parallel, congruent circular bases, making it the correct choice. A cone has one base, a sphere has no bases, and a pyramid has a polygonal base.

How many faces does a cube have?

• 4

• 6

• 8

• 12

Answer explanation

A cube has 6 faces, each of which is a square. This is a defining characteristic of a cube, making the correct answer 6.

Which geometric solid has exactly five faces?

• Cube

• Rectangular prism

• Triangular prism

• Square pyramid

Answer explanation

A square pyramid has exactly five faces: one square base and four triangular faces. In contrast, a cube has six faces, a rectangular prism has six, and a triangular prism has five but is not the correct choice.

Which of the following is NOT a polyhedron?

• Cube

• Tetrahedron

• Sphere

• Octahedron

Answer explanation

A polyhedron is a solid with flat polygonal faces. The cube, tetrahedron, and octahedron are all polyhedra, while a sphere is a smooth, round shape without flat faces, making it NOT a polyhedron.