Calculate Volume: 15cm × 16cm × 10cm Cuboid Problem

Cuboid Volume with Given Dimensions

Given an cuboid such that its length is equal to 15 cm

Width is equal to 16 cm

Height is equal to 10 cm

Find 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 Find the volume of the box
00:03 Edge values according to the given data
00:07 Use the formula to calculate box volume
00:10 Height times length times width
00:15 Substitute appropriate values and solve for the volume
00:27 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

Given an cuboid such that its length is equal to 15 cm

Width is equal to 16 cm

Height is equal to 10 cm

Find the volume of the cuboid

2

Step-by-step solution

To solve this problem, we follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the formula for the volume of a cuboid.
  • Step 3: Perform the necessary calculations.

Now, let's work through each step:
Step 1: The problem gives us the following dimensions for the cuboid: length = 15 cm, width = 16 cm, and height = 10 cm.
Step 2: We'll use the formula for the volume of a cuboid: V=l×w×h V = l \times w \times h .
Step 3: Substituting in the values, we get: V=15×16×10 V = 15 \times 16 \times 10 .
Calculating this, we find that:
V=15×16×10=2400 V = 15 \times 16 \times 10 = 2400 cubic centimeters.

Therefore, the volume of the cuboid is 2400cm3 2400 \, \text{cm}^3 , which corresponds to choice 2 in the given options.

3

Final Answer

2400 2400

Key Points to Remember

Essential concepts to master this topic
  • Formula: Volume of cuboid equals length × width × height
  • Technique: Multiply 15 × 16 × 10 = 2400 cubic centimeters
  • Check: Units should be cubic (cm³) since we multiplied three lengths ✓

Common Mistakes

Avoid these frequent errors
  • Adding dimensions instead of multiplying
    Don't add 15 + 16 + 10 = 41! This gives area units, not volume. Volume requires three-dimensional space measurement. Always multiply all three dimensions: length × width × height.

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

Why do we multiply all three dimensions?

+

Volume measures how much space is inside a 3D shape. You need length AND width AND height to fill that space completely. Adding them only gives you a perimeter-like measurement!

What's the difference between cm² and cm³?

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cm² is for area (flat surfaces like squares), while cm³ is for volume (3D space inside shapes). Since we multiplied three lengths together, we get cubic units!

Does the order of multiplication matter?

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No! You can multiply 15 × 16 × 10 or 10 × 15 × 16 - you'll get the same answer. Multiplication is commutative, meaning order doesn't change the result.

How do I remember the volume formula?

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Think of filling a box with small cubes. You need cubes going across (length), back (width), and up (height). Multiply to count all the cubes!

What if I get a huge number like 2400?

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That's normal for volume! 2400 cm³ means 2400 small cubes (each 1 cm × 1 cm × 1 cm) would fit inside. Large objects have large volumes.

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