Calculate Cube Volume: Finding Volume with 3 cm Edge Length

A cube has edges measuring 3 cm.

What is the volume of the cube?

333

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Calculate the volume of the cube.
00:07 We'll call the edge length A. In a cube, each edge is the same length.
00:13 Now, to find the volume, use the formula. Width times length times height.
00:23 Since all edges are equal, the formula becomes A times A times A.
00:31 Let's plug in the value for A and solve for the volume.
00:49 And that's how we find the volume of a cube!

Step-by-step written solution

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1

Understand the problem

A cube has edges measuring 3 cm.

What is the volume of the cube?

333

2

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.

3

Final Answer

27 27

Practice Quiz

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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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