Calculate Cube Volume: Finding Volume with 3 cm Edge Length

Question

A cube has edges measuring 3 cm.

What is the volume of the cube?

333

Video Solution

Solution Steps

00:00 Calculate the volume of the cube
00:03 Let's mark the edges with A, all edges in the cube are equal
00:08 Let's use the formula for volume calculation (width times length times height)
00:19 All edges in the cube are equal
00:27 Let's substitute appropriate values according to the given data and solve for the volume
00:45 And this is the solution to the problem

Step-by-Step Solution

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

  • Identify the given information: The edge of the cube is 3 cm.
  • Apply the formula for the volume of a cube: V=a3 V = a^3 .
  • Calculate the volume by substituting the given edge length into the formula.

Now, let's work through each step:

Step 1: The edge length a a is 3 cm.

Step 2: The formula for the volume of a cube is V=a3 V = a^3 . Substituting the given edge length, we have:

V=33 V = 3^3

Step 3: Calculate 33 3^3 :

3×3×3=27 3 \times 3 \times 3 = 27

Therefore, the volume of the cube is 27 27 cubic centimeters.

Thus, the solution to the problem is 27 27 cm3^3.

Answer

27 27