Calculate Cube Volume: Finding Volume When Edge Length is 7 cm

Question

The edges of a cube are 7 cm long.

Calculate the volume of the cube.

777

Video Solution

Solution Steps

00:05 Let's calculate the volume of the cube.
00:08 First, check the edge length from the data.
00:12 We'll use the formula: edge length, to the power of three.
00:17 Now, substitute the edge length and find the volume.
00:21 And that's how we solve this problem!

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:

Step 1: Identify the given information.
The length of each edge of the cube is given as 7 7 cm.

Step 2: Apply the appropriate formula.
The formula for the volume V V of a cube where each edge is of length s s is given by V=s3 V = s^3 .

Step 3: Perform the necessary calculations.
Plugging in the value of s=7 s = 7 cm, we compute the volume as follows:
V=73=7×7×7=343 cm3 V = 7^3 = 7 \times 7 \times 7 = 343 \text{ cm}^3

Therefore, the volume of the cube is 343 343 cm³.

Answer

343 343 cm³