Calculate the Volume of a Cuboid: Step-by-Step Measurement Guide

Cuboid Volume with Three-Dimensional Formula

The volume of the cuboid is es:

❤️ 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 Find the volume of the box
00:04 We will use the formula to calculate the box volume
00:07 height times length times width
00:12 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

The volume of the cuboid is es:

2

Step-by-step solution

To solve this problem, we need to identify the correct formula for the volume of a cuboid:

A cuboid is defined by three dimensions: length (l l ), width (w w ), and height (h h ). To find the volume of a cuboid, we use the formula:

V=l×w×h V = l \times w \times h

Given the answer choices:

  • Choice 1: l×2×w l \times 2 \times w
  • Choice 2: l×w×h l \times w \times h
  • Choice 3: l×w l \times w
  • Choice 4: w×h w \times h

The formula for the volume of a cuboid is explicitly listed in Choice 2, which is l×w×h l \times w \times h . This matches the standard mathematical formula for volume.

Thus, the correct answer to the problem is Choice 2: length ×width ×height\text{length } \times \text{width } \times \text{height}.

3

Final Answer

length X widthX height

Key Points to Remember

Essential concepts to master this topic
  • Volume Formula: Cuboid volume equals length × width × height
  • Three Dimensions: Must multiply all three measurements: l×w×h l \times w \times h
  • Verification: Check that your formula includes all three dimensions of the cuboid ✓

Common Mistakes

Avoid these frequent errors
  • Using only two dimensions in the formula
    Don't calculate volume with just length × width = area formula! This gives you the base area, not the volume. Always multiply all three dimensions: length × width × height for complete volume.

Practice Quiz

Test your knowledge with interactive questions

Calculate the volume of the rectangular prism below using the data provided.

888333222

FAQ

Everything you need to know about this question

What's the difference between area and volume formulas?

+

Area uses two dimensions (like length × width for rectangles), but volume always needs three dimensions. For cuboids, that's length × width × height.

Why do I need all three measurements?

+

Volume measures how much space an object takes up. You need length, width, AND height because a cuboid extends in all three directions in 3D space.

What if two dimensions are the same?

+

You still use the formula l×w×h l \times w \times h ! For example, if length = width = 4 and height = 3, then volume = 4 × 4 × 3 = 48.

Can I multiply the dimensions in any order?

+

Yes! Multiplication is commutative, so length × width × height = width × height × length = height × length × width. The result is always the same.

What units should I use for volume?

+

Volume is always measured in cubic units. If your dimensions are in centimeters, the volume is in cubic centimeters (cm³). If in meters, then cubic meters (m³).

🌟 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