NCERT Solutions for Class 4th Maths Chapter 1 Matching nets to solids — In-text Questions
Book page 9 Updated on2026-09-19
Q1.
Match the following nets to the appropriate solids given below.
The four nets (1)–(4) and the four solids (a)–(d) given in the book.
Answer
Count the faces in each net, then find the solid with the same faces.
Net
What it is made of
Solid
(1)
4 triangles (a big triangle split into 4)
(b) triangular pyramid
(2)
1 rectangle + 2 circles
(d) cylinder
(3)
6 rectangles
(a) cuboid
(4)
3 rectangles + 2 triangles
(c) triangular prism
Why it happens: A net has exactly the same faces as the
solid it folds into, no more and no less. So counting the faces is enough to match
them.
Check it yourself: Trace net (4), cut it out and fold along the
dotted lines. The two triangles come up as the two ends of the prism.
Q2.
Which of these nets can be folded to make a solid of the kind given below?
The four nets A–D and, below them, the four solids given in the book.
Answer
Again, match the faces in the net with the faces of the solid.
Net
What it is made of
Folds into
A
6 rectangles — 4 in a column with a flap above and below
the cuboid (the yellow box)
B
1 rectangle + 2 circles
the cylinder (the orange roller)
C
1 square + 2 triangles (one of them long and thin)
the long pyramid (the red one)
D
6 rectangles arranged round a middle one
the flat box (the pink one)
So: net A and net D both fold into box shapes, net
B folds into the cylinder, and net C folds into the pointed solid.
Why it happens: A net can be folded into a solid only if it has
the right number of faces and those faces are joined in the right places. Six
rectangles joined the right way always close up into a box.
Q3.
Nitesh cuts up a net on the folds. Here are its pieces. Which solid has the above pieces in its net?
The pieces Nitesh cut, and the four solids a, b, c and d.
Answer
The pieces are 1 pentagon and 5 triangles.
1 pentagon → the base
5 triangles → the 5 slanting faces
1 + 5 = 6 faces in all
A solid with a pentagon at the bottom and 5 triangles meeting at a point on top is
the pentagonal pyramid. That is shape d.
Why not the others?
a — square pyramid: it would need 1 square and only 4 triangles.
b — triangular pyramid: it would need 4 triangles and no pentagon.
c — hexagonal pyramid: it would need 1 hexagon and 6 triangles.
Why it happens: In a pyramid the base has as many sides as there
are triangles round it. A 5-sided base therefore needs exactly 5 triangles.