Grade 6 Math · Actual 3D Interactive Practice

Volume of Rectangular Prisms

Rotate a true 3D prism, connect the model to labeled practice diagrams, and build fluency with volume, missing sides, unit cubes, decimals, and real-world problems.

Start Practice Use 3D Prism

Teacher Notes

This version uses an actual CSS-3D rectangular prism in the exploration model so students can rotate the prism and view depth. Practice problems use clean, static 3D diagrams so the solving view stays readable and printable.

Level 1: find volume from three dimensions.
Level 2: missing side with total volume given.
Level 3: unit-cube and fractional unit-cube volume tasks similar to textbook reveal problems.
Levels 4–5: decimals, mixed practice, and real-world challenge problems.

1. Learn the Big Idea

Volume measures the amount of space inside a 3D figure. A rectangular prism has three dimensions: length, width, and height.

Formula Anchor

How to Solve

1Identify the dimensions. Find length, width, and height.
2Write the formula. Use V = l × w × h.
3Multiply or divide. To find volume, multiply. To find a missing side, divide the volume by the product of the two known dimensions.
4Label the answer. Volume uses cubic units, such as cm³. A missing side uses regular units, such as cm.

Vocabulary Support

Word	Student-Friendly Meaning	Sentence Frame
volume	The amount of space inside a 3D shape.	The volume is ___ cubic units.
rectangular prism	A box-shaped solid with rectangular faces.	The prism has dimensions ___, ___, and ___.
unit cube	A cube used to measure volume.	There are ___ unit cubes in the prism.
missing side	A length, width, or height that is not shown.	I can divide the volume by ___ to find the missing side.

2. Interactive 3D Prism Builder

Drag the prism to rotate it. Change the dimensions and connect the 3D model to the formula.

Actual 3D Rotation

length × height

width × height

length × width

Build the Prism

Length 5

Width 4

Height 3

Volume 60 units³ 5 × 4 × 3

Math connection: the front face shows length × height, the top face shows length × width, and the side face helps you see the width.

3. Quick Checks

Warm up before the main practice.

Self Check

4. Practice Pathway

Complete 30 problems. The practice begins with direct volume, then adds missing sides, unit cubes, decimals, and real-world tasks.

30 Problems

Level 1 · Find Volume Problem 1 of 30

Find the volume.

Show Your Thinking

Length

Width

Height

Equation

Answer

Choose a problem and enter your work.

5. Exit Reflection

Explain your thinking using precise math language.

Writing + Math

Reflection Prompt Explain how the 3D prism model helps you understand length, width, height, and volume.

Exit Ticket A rectangular prism has a volume of 180 cm³. Its length is 9 cm and its width is 4 cm. What is the height?

My answer: cm

Use height = volume ÷ (length × width).