Cube Properties: Analyzing the Relationship Between Faces and Surface Area

Question

Look at the cube below.

Do all cubes have 6 faces, equaling its surface area?

Video Solution

Solution Steps

00:00 Does every cube have 6 faces equal in area?
00:03 Let's mark the edges as A, all edges are equal in the cube
00:09 Each face area (square) equals the product of the edges
00:13 Since all edges are equal, therefore all areas are equal
00:24 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the properties of a cube.
  • Step 2: Count the number of faces and relate to surface area.

Let's go through each step:
Step 1: A cube is a three-dimensional shape with all sides equal in length and each angle a right angle. A cube has 6 faces, each of which is a square.
Step 2: The surface area (A A ) of a cube is calculated as A=6s2 A = 6s^2 , where s s is the length of a side of the cube. The calculation considers contributions from all 6 faces, each being square, hence a cube having 6 faces is integral to the computation of its surface area. The number of faces is 6 and each is involved in computing the surface area through this formula.

Therefore, the statement that all cubes have 6 faces equating to the surface area property is Yes..

Answer

Yes.

More Questions

Related Subjects

Cubes

Question Types

Cubes: True / false