1.
I have 6 faces, 12 edges, and 8 vertices. I can be a box, an IceCube, a TV or a cage. What am I?
Correct Answer
D. A cube.
Explanation
The given description matches that of a cube. A cube has 6 faces, 12 edges, and 8 vertices, which corresponds to the information provided. A cone, rectangular prism, dog, and sphere do not have the same number of faces, edges, and vertices as stated in the question. Therefore, the correct answer is a cube.
2.
I have 5 faces, and my base is a square. I can be a pyramid, a tent, or a mountain. What am I?
Correct Answer
C. A square pyramid.
Explanation
The correct answer is a square pyramid. This is because a square pyramid has 5 faces, with a square base and 4 triangular faces that form a point at the top. The other options do not fit the given description. A rectangular prism has 6 faces, a pentagonal prism has 7 faces, and a sphere has no faces. A dog is not a geometric shape and does not fit the given description.
3.
I have 3 faces and 2 edges. I can be a water tank, a pipe or a candle. What am I?
Correct Answer
A. A cylinder.
Explanation
The given question describes an object with 3 faces and 2 edges, which fits the description of a cylinder. A cylinder has two circular faces and one curved face, and it has two curved edges. The other options, such as a hemi-sphere, rectangular prism, dog, or icosahedron, do not have the same number of faces and edges as described in the question. Therefore, the correct answer is a cylinder.
4.
I am an archimedean solid. I have 62 faces, 60 vertices and 120 edges Here is a picture of me: What am I?
Correct Answer
B. A rhombicosidodecahedron
Explanation
A rhombicosidodecahedron is an Archimedean solid that has 62 faces, 60 vertices, and 120 edges. The picture provided matches the shape of a rhombicosidodecahedron, confirming that it is the correct answer.
5.
I have 2 faces, and 1 edge. On Earth, there are 2 of me. I am half of a sphere. what am I?
Correct Answer
D. A hemisphere.
Explanation
The given description states that the object has 2 faces and 1 edge, which matches the characteristics of a hemisphere. A hemisphere is half of a sphere and has a curved surface with only one edge where the flat face meets the curved surface. Additionally, the statement mentions that there are 2 of these objects on Earth, further confirming that the answer is a hemisphere.
6.
I have 2 faces, 1 edge, and 1 point. I can be a party hat or an icecream cone. What am I?
Correct Answer
B. A cone.
Explanation
The given question describes an object with 2 faces, 1 edge, and 1 point. This matches the description of a cone, as a cone has a circular base which counts as one face, the curved surface counts as the second face, the edge is where the base and the curved surface meet, and the point is the top of the cone. Therefore, the correct answer is a cone.