Calculate Cuboid Volume: 9cm × 6cm × 8cm Dimensional Analysis

Volume Calculation with Complete Dimensional Information

A cuboid has a height of 9 cm and a length of 6 cm.

Its width is 8 cm.

Is it possible to calculate the volume of the cuboid?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the box volume
00:04 We'll use the formula to calculate the box volume
00:08 We'll substitute appropriate values according to the given data and solve to find the volume
00:18 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

A cuboid has a height of 9 cm and a length of 6 cm.

Its width is 8 cm.

Is it possible to calculate the volume of the cuboid?

2

Step-by-step solution

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

  • Identify the given information about the cuboid's dimensions.
  • Apply the appropriate formula for calculating the volume.

Now, let's work through each step:

The given dimensions are: height (hh) = 9 cm, length (ll) = 6 cm, and width (ww) = 8 cm.

The formula for the volume of a cuboid is:

V=l×w×hV = l \times w \times h

Substitute the given values into the formula:

V=6cm×8cm×9cmV = 6 \, \text{cm} \times 8 \, \text{cm} \times 9 \, \text{cm}

We can carry out this multiplication to actually find the volume, which would result in a number, but the problem only asks us if it's possible to calculate the volume. Since we have all dimensions necessary and we've correctly applied the formula, it is indeed possible to calculate the volume.

Therefore, the answer is:

Yes

3

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic
  • Formula: Volume of cuboid requires all three dimensions: length × width × height
  • Technique: Check given dimensions: 6cm × 8cm × 9cm = all present
  • Verification: Confirm each dimension has units and numerical value ✓

Common Mistakes

Avoid these frequent errors
  • Assuming you need to calculate the actual volume
    Don't solve V = 6 × 8 × 9 = 432 cm³ when only asked if calculation is possible! The question asks about possibility, not the actual answer. Always read what the question is actually asking for.

Practice Quiz

Test your knowledge with interactive questions

A rectangular prism has a base measuring 5 units by 8 units.

The height of the prism is 12 units.

Calculate its volume.

121212888555

FAQ

Everything you need to know about this question

Do I need to multiply the numbers to answer this question?

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No! The question only asks if it's possible to calculate volume. Since we have all three dimensions (length, width, height), the answer is simply 'Yes' - no multiplication needed.

What if one dimension was missing?

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If any dimension was missing, the answer would be 'No'. You need all three measurements (length, width, height) to calculate a cuboid's volume using the formula V = l × w × h.

Why does the order of dimensions not matter?

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In multiplication, the order doesn't change the result due to the commutative property. Whether you write 6×8×9 or 9×6×8, you get the same volume!

What units should the final volume have?

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Since all dimensions are in centimeters (cm), the volume would be in cubic centimeters (cm³). Always cube the units when calculating volume!

Is this the same as finding the area?

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No! Area uses only two dimensions (like length × width), while volume needs three dimensions. Volume tells us how much space is inside the 3D shape.

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