3-D Shape Assignment Build a three dimensional shape and prepare a set of questions to be presented to the class for problem solving. Questions should encourage students to cover the concepts of perimeter, volume, surface area, number of vertices, faces, and edges associated with the three-dimensional shape. Present your questions to the entire class. Please post under a thread with your team’s name and shape name.

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Thread: Team Geometry Masters, Shape: Cube

Question 1: What is the perimeter of a cube?
To find the perimeter of a cube, you need to add up the lengths of all its edges. Since each face of a cube has 4 edges, and there are 6 faces in total, the total number of edges in a cube is 6 x 4 = 24. Therefore, the perimeter of a cube is always 24 units.

Question 2: How do you find the volume of a cube?
To find the volume of a cube, you need to multiply the length of one side by itself, and then multiply that by the height. In a cube, all sides are equal, so you only need to take the length of one side. The volume formula for a cube is V = s x s x s, where s represents the length of the side. For example, if the side length of a cube is 3 units, then the volume would be 3 x 3 x 3 = 27 cubic units.

Question 3: What is the surface area of a cube?
To find the surface area of a cube, you need to find the sum of the areas of all its six faces. Since all faces of a cube are equal, you can use the formula SA = 6s², where s represents the length of one side. For example, if the side length of a cube is 4 units, then the surface area would be 6 x (4 x 4) = 96 square units.

Question 4: How many vertices does a cube have?
A vertex is a point where edges meet. A cube has 8 vertices since each of its 6 faces has a corner point where 3 edges meet.

Question 5: How many faces does a cube have?
A face is a flat surface on a three-dimensional shape. A cube has 6 faces since it is made up of 6 identical square faces.

Question 6: How many edges does a cube have?
An edge is a line segment where two faces meet. A cube has 12 edges since each of its 6 faces has 2 edges.

These questions will help students explore and understand the various properties of a cube, including its perimeter, volume, surface area, number of vertices, faces, and edges.