Calculate Total Edge Length: Cube with 6.5 cm Sides

Given the cube and the length of each edge equals 6.5 cm

What is the sum of the lengths of the edges of the cube?

6.56.56.5

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the sum of the cube's edge lengths
00:03 In a cube all edges are equal, let's mark it as A
00:07 Let's find them all
00:20 Multiply the number of edges by the given edge length
00:27 Let's calculate and solve
00:35 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Given the cube and the length of each edge equals 6.5 cm

What is the sum of the lengths of the edges of the cube?

6.56.56.5

2

Step-by-step solution

To solve this problem, we need to find the total length of all the edges of a cube where each edge measures 6.5 cm. A cube has 12 edges, and the length of each edge is identical.

We'll apply the formula for the sum of the lengths of the edges of a cube:

  • Formula: Total edge length = 12×edge length 12 \times \text{edge length}

Substitute the given edge length into the formula:

Total edge length = 12×6.5 12 \times 6.5 .

Now let's do the calculation:

Total edge length = 12×6.5=78 12 \times 6.5 = 78 .

Therefore, the sum of the lengths of the edges of the cube is 78\mathbf{78} cm.

The correct choice from the given options is choice 4, which corresponds to the result of 78 78 .

3

Final Answer

78 78

Practice Quiz

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What are the dimensions of a cuboid composed of two 4X3 rectangles

and of four 4X4 squares?

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