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?

Video Solution

Solution Steps

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 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:

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

Substituting the known values, we have:

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

Calculating this gives:

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

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