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Volume of Rectangular Prisms

Calculate volume by multiplying length, width, and height

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Volume of Rectangular Prisms

What is Volume?

Volume measures how much space is inside a 3D shape.

Units: Cubic units like cm³, m³, in³, ft³

Formula for Rectangular Prisms

V=l×w×hV = l \times w \times h

where:

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

Thinking About It

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

Cubes

For a cube (all sides equal): V=s3V = s^3

where ss = side length

Real-World Examples

  • Boxes and containers
  • Rooms
  • Fish tanks
  • Swimming pools

📚 Practice Problems

1Problem 1easy

❓ Question:

Find the volume of a box that is 5 cm long, 3 cm wide, and 2 cm tall.

💡 Show Solution

Solution:

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

V=5×3×2=30V = 5 \times 3 \times 2 = 30

Answer: 30 cm³

2Problem 2easy

❓ Question:

Find the volume of a box that is 5 cm long, 3 cm wide, and 2 cm tall.

💡 Show Solution

Solution:

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

V=5×3×2=30V = 5 \times 3 \times 2 = 30

Answer: 30 cm³

3Problem 3medium

❓ Question:

A fish tank is 20 inches long, 10 inches wide, and 12 inches tall. What is its volume?

💡 Show Solution

Solution:

V=l×w×hV = l \times w \times h V=20×10×12V = 20 \times 10 \times 12 V=2,400V = 2,400

Answer: 2,400 cubic inches (or 2,400 in³)

4Problem 4medium

❓ Question:

A fish tank is 20 inches long, 10 inches wide, and 12 inches tall. What is its volume?

💡 Show Solution

Solution:

V=l×w×hV = l \times w \times h V=20×10×12V = 20 \times 10 \times 12 V=2,400V = 2,400

Answer: 2,400 cubic inches (or 2,400 in³)

5Problem 5hard

❓ Question:

A storage box has a volume of 120 ft³. The base is 6 feet long and 4 feet wide. How tall is the box?

💡 Show Solution

Solution:

We know: V=l×w×hV = l \times w \times h

Substitute what we know: 120=6×4×h120 = 6 \times 4 \times h 120=24×h120 = 24 \times h h=120÷24h = 120 \div 24 h=5h = 5

Answer: The box is 5 feet tall

6Problem 6hard

❓ Question:

A storage box has a volume of 120 ft³. The base is 6 feet long and 4 feet wide. How tall is the box?

💡 Show Solution

Solution:

We know: V=l×w×hV = l \times w \times h

Substitute what we know: 120=6×4×h120 = 6 \times 4 \times h 120=24×h120 = 24 \times h h=120÷24h = 120 \div 24 h=5h = 5

Answer: The box is 5 feet tall

Explain using:
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❓ Frequently Asked Questions

What is Volume of Rectangular Prisms?▾
Calculate volume by multiplying length, width, and height
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 6 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 5 Math course on Study Mondo, specifically in the Volume and Geometry 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 6 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.