Calculate Cube Volume: Finding the Space Inside a 6cm Cube

Cube Volume with Edge Length Formula

A cube has edges measuring 6 cm.

Calculate the volume of the cube.

666

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the volume of the cube
00:03 Edge length according to the given data
00:07 We'll use the formula for calculating cube volume (edge cubed)
00:11 We'll substitute the edge length and solve for the volume
00:17 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

A cube has edges measuring 6 cm.

Calculate the volume of the cube.

666

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Identify the given information.

  • Step 2: Apply the formula for the volume of a cube.

  • Step 3: Perform the calculation to find the volume.

Let's work through these steps:

Step 1: The problem states a cube with edge length a=6 a = 6 cm.

Step 2: The formula to calculate the volume of a cube is V=a3 V = a^3 .

Step 3: Substitute the given edge length:

V=63 V = 6^3

V=6×6×6 V = 6 \times 6 \times 6

V=216 V = 216 cm3

Therefore, the volume of the cube is 216 216 cm³.

3

Final Answer

216 216 cm³

Key Points to Remember

Essential concepts to master this topic
  • Formula: Volume of cube equals edge length cubed: V=a3 V = a^3
  • Calculation: Multiply edge by itself three times: 6×6×6=216 6 \times 6 \times 6 = 216
  • Verification: Check units are cubic and calculation: 63=216 6^3 = 216 cm³ ✓

Common Mistakes

Avoid these frequent errors
  • Using wrong formula or forgetting to cube the edge
    Don't use V=6×2=12 V = 6 \times 2 = 12 or V=62=36 V = 6^2 = 36 ! These give area formulas, not volume. Volume needs all three dimensions multiplied together. Always use V=a3 V = a^3 for cubes and multiply the edge by itself three times.

Practice Quiz

Test your knowledge with interactive questions

Identify the correct 2D pattern of the given cuboid:

444444999

FAQ

Everything you need to know about this question

Why do I cube the edge length instead of just multiplying by 3?

+

A cube has three dimensions - length, width, and height - all equal to the edge length. Volume measures space inside, so you multiply 6 × 6 × 6, not 6 × 3!

What's the difference between 62 6^2 and 63 6^3 ?

+

62=36 6^2 = 36 gives you area (square units), while 63=216 6^3 = 216 gives you volume (cubic units). Volume needs that extra dimension!

How do I remember the cube volume formula?

+

Think of it as "edge times edge times edge" because a cube has three identical edges meeting at each corner. That's why we write V=a3 V = a^3 !

Why are the units cm³ instead of just cm?

+

The ³ shows we multiplied three lengths together: cm × cm × cm = cm³. This tells us we're measuring volume (3D space), not length (1D) or area (2D).

What if I get a different answer like 180 or 188?

+

Double-check your calculation! 6×6=36 6 \times 6 = 36 , then 36×6=216 36 \times 6 = 216 . Wrong answers usually come from miscalculating or using the wrong formula.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Cuboids questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations