Calculate Cube Volume: Finding the Space Inside a 6cm Cube

A cube has edges measuring 6 cm.

Calculate the volume 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 volume of the cube
00:03 Edge length according to the given data
00:07 We'll use the formula for calculating cube volume (edge cubed)
00:11 We'll substitute the edge length and solve for the volume
00:17 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 volume of the cube.

666

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Identify the given information.

  • Step 2: Apply the formula for the volume of a cube.

  • Step 3: Perform the calculation to find the volume.

Let's work through these steps:

Step 1: The problem states a cube with edge length a=6 a = 6 cm.

Step 2: The formula to calculate the volume of a cube is V=a3 V = a^3 .

Step 3: Substitute the given edge length:

V=63 V = 6^3

V=6×6×6 V = 6 \times 6 \times 6

V=216 V = 216 cm3

Therefore, the volume of the cube is 216 216 cm³.

3

Final Answer

216 216 cm³

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A cube has a total of 14 edges.

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