Calculate Total Edge Length: Sum of 2cm Cube Edges

Q: How do I remember that a cube has 12 edges?

Think of it systematically: a cube has 4 edges on top, 4 edges on bottom, and 4 vertical edges connecting them. That's 4 + 4 + 4 = 12 edges total!

Q: What's the difference between edge length and total edge length?

Edge length is how long each individual edge is (2 cm in this problem). Total edge length is the sum of all edges combined (24 cm).

Q: Why don't we add the areas or volumes?

The question specifically asks for the sum of edges, which means adding up all the edge lengths. This is different from finding surface area or volume.

Q: What if the cube had different edge lengths?

That wouldn't be a cube anymore! By definition, a cube must have all edges equal. If edges were different lengths, it would be a rectangular prism.

Cube Properties with Total Edge Calculation

The cube below has edges measuring 2 cm long.

What is the sum the cube's edges?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate the sum of cube edges

00:03 An edge in a cube is a side of a face

00:06 Let's mark each edge in the cube with letter A and count

00:10 We have 12 equal edges in the cube

00:13 Let's substitute the edge value according to the given data and solve for the sum

00:21 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The cube below has edges measuring 2 cm long.

What is the sum the cube's edges?

Step-by-step solution

To solve this problem, we will use the basic property of cubes regarding the number of edges and the length of each edge. Follow these detailed steps:

Step 1: Identify the length of each edge.
The problem states that each edge of the cube is 2 cm long.
Step 2: Determine the number of edges in a cube.
A cube has 12 edges.
Step 3: Calculate the total sum of the edge lengths.
Multiply the number of edges by the length of each edge. Thus, the total edge length is given by: $12 \times 2 = 24 \, \text{cm}.$

Therefore, the sum of the cube's edges is $24$ , cm.

Final Answer

$24$

Key Points to Remember

Essential concepts to master this topic

Cube Structure: Every cube has exactly 12 edges of equal length
Calculation Method: Total edge length = 12 edges × 2 cm = 24 cm
Verification: Count each edge systematically: 4 top + 4 bottom + 4 vertical = 12 ✓

Common Mistakes

Avoid these frequent errors

Counting faces or vertices instead of edges
Don't count the 6 faces or 8 corners = wrong totals like 12 or 16! Students often confuse cube parts. Always remember: cubes have 12 edges (the lines where faces meet), not 6 faces or 8 vertices.

Practice Quiz

Test your knowledge with interactive questions

A cube has a total of 14 edges.

FAQ

Everything you need to know about this question

How do I remember that a cube has 12 edges?

Think of it systematically: a cube has 4 edges on top, 4 edges on bottom, and 4 vertical edges connecting them. That's 4 + 4 + 4 = 12 edges total!

What's the difference between edge length and total edge length?

Edge length is how long each individual edge is (2 cm in this problem). Total edge length is the sum of all edges combined (24 cm).

Why don't we add the areas or volumes?

The question specifically asks for the sum of edges, which means adding up all the edge lengths. This is different from finding surface area or volume.

Can I use this method for other shapes?

Yes! For any 3D shape, count the total number of edges and multiply by the edge length. However, only cubes have all edges the same length.

What if the cube had different edge lengths?

That wouldn't be a cube anymore! By definition, a cube must have all edges equal. If edges were different lengths, it would be a rectangular prism.

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