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Volume of Rectangular Prisms

Learn to calculate the volume of boxes and rectangular shapes

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Volume of Rectangular Prisms

What is Volume?

Volume is the amount of space inside a 3-dimensional object.

It's measured in cubic units (like cm³, m³, in³, ft³).

Rectangular Prism

A rectangular prism is a 3D shape with 6 rectangular faces (like a box).

Volume Formula

V=l×w×hV = l \times w \times h

where:

  • ll = length
  • ww = width
  • hh = height

You can also think of it as: V=(area of base)×heightV = (\text{area of base}) \times \text{height}

Cube

A cube is a special rectangular prism where all sides are equal: V=s3V = s^3

where ss = side length

Real-World Examples

  • Storage boxes
  • Aquariums
  • Rooms in a house
  • Swimming pools

📚 Practice Problems

1Problem 1easy

❓ Question:

Find the volume of a cube with side length 4 cm.

💡 Show Solution

Solution:

Use the formula: V=s3V = s^3

V=43V = 4^3 V=4×4×4V = 4 \times 4 \times 4 V=64V = 64

Answer: 64 cm³

2Problem 2medium

❓ Question:

A box has dimensions 6 inches long, 4 inches wide, and 5 inches tall. What is its volume?

💡 Show Solution

Solution:

Use the formula: V=l×w×hV = l \times w \times h

V=6×4×5V = 6 \times 4 \times 5 V=120V = 120

Answer: 120 cubic inches (or 120 in³)

3Problem 3hard

❓ Question:

An aquarium is 30 inches long, 12 inches wide, and 18 inches tall. If it is filled to 2 inches below the top, what is the volume of water?

💡 Show Solution

Solution:

Water height: 18−2=1618 - 2 = 16 inches

Volume of water: V=l×w×hV = l \times w \times h V=30×12×16V = 30 \times 12 \times 16 V=5,760V = 5,760

Answer: 5,760 in³ of water

Explain using:
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📌 Related Topics in Geometry Basics

Perimeter and Area

❓ Frequently Asked Questions

What is Volume of Rectangular Prisms?▾
Learn to calculate the volume of boxes and rectangular shapes
How can I study Volume of Rectangular Prisms effectively?▾
Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Practice with the 3 problems provided, checking solutions as you go. Regular review and active practice are key to retention.
Is this Volume of Rectangular Prisms study guide free?▾
Yes — all study notes, flashcards, and practice problems for Volume of Rectangular Prisms on Study Mondo are free to access. No account is needed.
What course covers Volume of Rectangular Prisms?▾
Volume of Rectangular Prisms is part of the Grade 6 Math course on Study Mondo, specifically in the Geometry Basics section. You can explore the full course for more related topics and practice resources.
Are there practice problems for Volume of Rectangular Prisms?▾
Yes, this page includes 3 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.