Mathematics · Class 5
Boxes and Sketches
Learn Boxes and Sketches with notes, examples, and practice questions.
3 sections15–25 min read3 MCQs · 1 examples
Chapter Overview
A net is a flat arrangement of faces that folds without overlap to make a solid.
Boxes and Sketches connects three-dimensional solids with two-dimensional nets and drawings. Learners identify faces, edges, and vertices and decide whether a net can fold into a cube or cuboid.
Properties of Solids
- A cube has 6 square faces, 12 edges, and 8 vertices.
- A cuboid has 6 rectangular faces; opposite faces are equal.
- Edges are where two faces meet.
- Vertices are corner points where edges meet.
Nets and Sketches
- A cube net contains six connected squares.
- Faces that overlap after folding make an invalid net.
- Hidden edges may be shown with dashed lines in a sketch.
- Different nets can fold into the same solid.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Count Cube Edges
How can the 12 edges of a cube be counted by direction?
- 1Count 4 horizontal edges around the top and bottom in one direction.
- 2Count 4 in the second horizontal direction.
- 3Count 4 vertical edges.
- 4Add 4 + 4 + 4.
Answer
12 edges
Key Points to Remember
- ✓ Solids have faces, edges, and vertices
- ✓ A cube has six square faces
- ✓ A net folds into a solid
- ✓ Dashed lines can show hidden edges
Exam Tips
- • Mentally label faces before folding a net
- • Check for overlapping faces
- • Count shared edges only once
Practice MCQs — Boxes and Sketches
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 3Score: 0/0
How many faces does a cube have?