Calculate Surface Area: Finding Total Area of a 6 cm Cube

A cube has edges measuring 6 cm.

Calculate the surface area of the cube.

666

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the surface area of the cube
00:03 Edge length according to the given data
00:06 We'll use the formula for calculating cube surface area
00:10 6 times the edge length squared
00:13 We'll substitute the edge length and solve for the surface area
00:16 Let's calculate 6 squared
00:22 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

A cube has edges measuring 6 cm.

Calculate the surface area of the cube.

666

2

Step-by-step solution

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

  • Step 1: Identify the given edge length of the cube.
  • Step 2: Apply the surface area formula for a cube.
  • Step 3: Calculate the surface area using the given edge length.

Now, let's work through each step:
Step 1: The edge length of the cube is given as 6 6 cm.
Step 2: We'll use the formula for the surface area of a cube: S=6a2 S = 6a^2 , where a a is the edge length.
Step 3: Plugging in the value, we calculate: S=6×62=6×36=216 S = 6 \times 6^2 = 6 \times 36 = 216 cm².

Therefore, the surface area of the cube is 216 216 cm².

3

Final Answer

216 216 cm².

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A cube has a total of 14 edges.

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