What does it mean?
A net shows the faces of a solid opened flat. A cube needs six equal squares, but any six connected squares will not do: they must fold to cover six different faces without overlap. A cuboid has three matching pairs of rectangular faces; some or all of those rectangles can be squares.
A cube net is a flat arrangement of six equal squares that folds into the six faces of a cube. Every face must close a different side, with no overlap. Six squares alone do not guarantee a valid net. Five squares cannot make a closed cube.
Learning goal: Nets and solids. The grade is a suggested starting point; school sequences vary. Use the first worked example to check readiness, and Area and perimeter: the difference, examples and practice if an earlier idea needs revisiting.
See the idea
Read each diagram with its labels, then follow the worked examples. Practice questions include their own measurements and information.
Enlarge diagram to read the labels
Swipe across the enlarged diagram to read every label.
Enlarge diagram to read the labels
Swipe across the enlarged diagram to read every label.
Choose a method and explain why it works
Choose one face as the base and track which face folds to each side. Check opposite pairs and the final closing face. For a cuboid of length 4 cm, width 3 cm and height 2 cm, the faces are two 4-by-3 rectangles, two 4-by-2 rectangles and two 3-by-2 rectangles. Adjacent joining edges must have equal lengths.
Notation: 6 faces; 12 edges; 8 vertices
Key rule and when to use it
A closed cube net has six equal squares which fold without overlap. A cuboid net has three matching opposite face pairs.
Worked examples, step by step
Example 1: Can a strip of four squares with one square above and one below the second square fold into a cube?
- Choose the second square as the base.
- Fold the four neighbouring directions.
- Check where the last face closes the cube.
Answer: Yes
Example 2: A net has only five squares. Can it make a closed cube?
- A cube has 6 square faces.
- Five faces leave one side open.
Answer: No
Example 3: List the face sizes needed for a 5 cm by 3 cm by 2 cm cuboid.
- The top and bottom are 5 cm by 3 cm.
- The front and back are 5 cm by 2 cm; the two end faces are 3 cm by 2 cm.
- There are six faces in three matching pairs. Check that edges which meet have the same length.
Common mistakes and important boundaries
A strip of six squares does not become a closed cube simply because the count is six. Some faces would overlap or leave openings. Folding does not create new faces. When a cuboid net has six faces, their sizes still matter: six arbitrary rectangles are not enough.
A point to explain
A cube net must fold without overlapping faces or leaving a gap.
Compare an uncertain attempt with the closest worked example. Look at the meaning of each operation, unit and label before repeating the arithmetic.
Nets of Cubes and Cuboids — practice
Work on paper first. Open each answer afterwards and compare the reasoning. Print the questions with or without the separate answer key; no account is required.
Name: ____________________ Date: __________
A cube has how many faces?
Answer and a way to check
6
Imagine folding one square at a time around a base face.
A cube has how many corners?
Answer and a way to check
8
Imagine folding one square at a time around a base face.
A cube has how many edges?
Answer and a way to check
12
Imagine folding one square at a time around a base face.
A cuboid has how many faces?
Answer and a way to check
6
Imagine folding one square at a time around a base face.
Which statement must be true for a set of squares to be a cube net?
Answer and a way to check
It has six squares that fold without overlap
Imagine folding each square around one base face.
Can six squares in one straight strip fold into a closed cube without overlap?
Answer and a way to check
No.
After folding around the solid, some faces would overlap or leave openings. Face count alone does not certify a net.
A cuboid is 4 cm by 3 cm by 2 cm. How many faces are 4 cm by 3 cm?
Answer and a way to check
2
The matching top and bottom form one opposite pair.
Why must two net edges that fold together have equal lengths?
Answer and a way to check
They must meet along the same complete solid edge.
Unequal lengths leave a gap, overlap or a change in the proposed face shape.
Nets of Cubes and Cuboids — answer key
6 Imagine folding one square at a time around a base face.
8 Imagine folding one square at a time around a base face.
12 Imagine folding one square at a time around a base face.
6 Imagine folding one square at a time around a base face.
It has six squares that fold without overlap Imagine folding each square around one base face.
No. After folding around the solid, some faces would overlap or leave openings. Face count alone does not certify a net.
2 The matching top and bottom form one opposite pair.
They must meet along the same complete solid edge. Unequal lengths leave a gap, overlap or a change in the proposed face shape.
Questions students and parents ask
Is every arrangement of six joined squares a cube net?
No. The arrangement must close the solid. Track where each square goes when folded; six squares in one straight strip cannot cover the six distinct faces of a cube.
Is a square a rectangle in a net?
Yes. A square is a special rectangle. A cube therefore also fits the broader description of a cuboid, though its six faces are all equal squares.
Is this a complete set of textbook exercise solutions?
No. This guide adapts BananaLearn’s own teaching examples and practice. It is not official NCERT material or a promise of the exact chapter sequence in a particular board, country or textbook edition.
What if the examples are still difficult?
Revisit Area and perimeter: the difference, examples and practice. Try the first example with its model, then attempt one fresh question independently. A correct copied answer is not evidence that the method can be used without support.
Help at home
Unfold a clean empty box along selected edges. Ask which rectangles match before flattening it, then compare the prediction with the net.
Keep one example of the learner’s own working. A repeated difficulty across fresh questions can guide a discussion with their teacher; one short practice sheet does not establish a diagnosis or a full mastery profile.
Connect this idea to the next skill
About this guide
Based on BananaLearn’s Grade 5 course lesson “Nets and solids”. The explanations have been adapted for independent reading; course diagrams are reused where they fit the idea, and missing classroom givens are made explicit in questions.
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