Calculate Cube Volume: Finding V When Edge Length is 4 cm

Q: Why do I need to multiply 4 three times instead of just once?

A cube has three dimensions: length, width, and height. Since all edges are equal (4 cm each), you multiply 4 × 4 × 4 to find the space inside the cube.

Q: What's the difference between cm² and cm³?

cm² measures area (flat surfaces) while cm³ measures volume (space inside). Since we're finding how much space is inside the cube, we use cm³.

Q: Can I just add 4+4+4 instead of multiplying?

No! Adding gives you 12 cm, which is just the total edge length. Volume requires multiplying all three dimensions: 4 × 4 × 4 = 64 cm³.

Q: How do I remember the cube volume formula?

Think of it as "side cubed" because you multiply the side length by itself three times. The word cube in math means "to the third power" (³)!

Cube Volume with Edge Length

A cube has edges measuring 4 cm long.

What is the volume of the cube?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate the cube's volume

00:03 We'll use the formula for calculating cube volume (edge to the third power)

00:07 Edge length according to the given data

00:11 We'll substitute the edge length and solve for the volume

00:22 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

A cube has edges measuring 4 cm long.

What is the volume of the cube?

Step-by-step solution

The volume of a cube is determined by the formula $V = s^3$ , where $s$ is the length of each edge of the cube.

Given that each edge of the cube measures $4$ cm, we proceed as follows:

Step 1: Identify the edge length as $s = 4$ cm.
Step 2: Apply the formula $V = s^3$ .
Step 3: Calculate $V = 4^3 = 4 \times 4 \times 4$ .

Continuing with the calculation:

$4 \times 4 = 16$
$16 \times 4 = 64$

The volume of the cube is therefore $64$ cubic centimeters.

Therefore, the solution to the problem is $\ 64$ cm³.

Final Answer

$64$ cm³

Key Points to Remember

Essential concepts to master this topic

Formula: Volume of cube is $V = s^3$ where s is edge length
Technique: Calculate $4^3 = 4 \times 4 \times 4 = 64$ cm³
Check: Verify units are cubic (cm³) and calculation: 4×4×4 = 64 ✓

Common Mistakes

Avoid these frequent errors

Using wrong formula or forgetting to cube the edge length
Don't use V = s² or V = 4s = 16 cm³! This gives area, not volume. A cube is 3-dimensional, so you need all three dimensions multiplied. Always use V = s³ and multiply the edge length three times.

Practice Quiz

Test your knowledge with interactive questions

A cube has a total of 14 edges.

FAQ

Everything you need to know about this question

Why do I need to multiply 4 three times instead of just once?

A cube has three dimensions: length, width, and height. Since all edges are equal (4 cm each), you multiply 4 × 4 × 4 to find the space inside the cube.

What's the difference between cm² and cm³?

cm² measures area (flat surfaces) while cm³ measures volume (space inside). Since we're finding how much space is inside the cube, we use cm³.

Can I just add 4+4+4 instead of multiplying?

No! Adding gives you 12 cm, which is just the total edge length. Volume requires multiplying all three dimensions: 4 × 4 × 4 = 64 cm³.

How do I remember the cube volume formula?

Think of it as "side cubed" because you multiply the side length by itself three times. The word cube in math means "to the third power" (³)!

What if the edge length was a different number?

The formula stays the same! For any edge length s, just calculate s³. For example: if s = 3, then V = 3³ = 27 cm³.

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