Calculate Total Edge Length: 4cm Cube Geometry Problem

Shown below is a cube with a length of 4 cm.

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

444

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Step-by-step video solution

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00:00 Find the sum of the cube's edge lengths
00:03 In a cube all edges are equal, let's mark it with A
00:06 Let's find them all
00:21 Multiply the number of edges by the edge length according to the given data
00:29 Let's calculate and solve
00:35 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Shown below is a cube with a length of 4 cm.

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

444

2

Step-by-step solution

To find the sum of the lengths of all the edges of a cube, we can follow these steps:

  • Step 1: Recognize that a cube has 12 edges, and each edge is the same length.
  • Step 2: Given the side length of the cube is 4 cm, use the formula for the total edge length.

The formula for the total length of the edges of a cube is:

Total length=number of edges×length of one edge \text{Total length} = \text{number of edges} \times \text{length of one edge}

Substituting the known values, we have:

Total length=12×4cm \text{Total length} = 12 \times 4 \, \text{cm}

Calculating this gives:

Total length=48cm \text{Total length} = 48 \, \text{cm}

Therefore, the sum of the lengths of the cube's edges is 48cm 48 \, \text{cm} .

3

Final Answer

48 48

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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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