Calculate Surface Area: 11 cm Cube with Equal Edges

The edges of a cube are 11 cm long.

Calculate the surface area of the cube.

111111

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the surface area of the cube
00:03 Edge length according to the given data
00:07 We'll use the formula to calculate the surface area of a cube
00:11 Multiply the number of faces (6) by the area of one face
00:14 Substitute appropriate values and solve to find the surface area
00:23 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

The edges of a cube are 11 cm long.

Calculate the surface area of the cube.

111111

2

Step-by-step solution

To solve this problem, we will calculate the surface area of the cube with edge length 11 cm using the formula for the surface area of a cube. The steps are as follows:

  • Step 1: Identify the side length of the cube
    The problem states that each edge of the cube is 11 cm long.
  • Step 2: Apply the formula for the surface area of a cube
    The surface area A A of a cube is given by the formula A=6s2 A = 6s^2 , where s s is the side length.
  • Step 3: Perform the calculation
    Substitute s=11 s = 11 cm into the formula:

A=6×112 A = 6 \times 11^2

Calculate 112=121 11^2 = 121 :

A=6×121 A = 6 \times 121

Calculate 6×121=726 6 \times 121 = 726 .

Therefore, the surface area of the cube is 726 cm2\textbf{726 cm}^2.

Looking at the choices provided, the correct answer is the third choice: 726 cm2 726 \text{ cm}^2 .

Therefore, the solution to the problem is 726 cm2\textbf{726 cm}^2.

3

Final Answer

726 726 cm².

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A cube has a total of 14 edges.

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