Worksheet Solutions: Shapes Around Us (3D Shapes)

Q1: Circle the 3D shapes that stack.

(i) 
 
(ii) 
 
(iii) 
 
(iv) 
 
(v) 
 
(vi) 
 
Ans:
(i)

(ii)

(iii)

(iv)

Q2: Match the following:

Ans: 

Q3: Find out the 3D shapes that roll

(i) 
 
(ii) 

(iii) 
 
(iv) 
 
(v) 
 
(vi) 
 
Ans:
(i)
 

(ii) 

(iii)  

Q4: Fill in the blanks:

(i) The cube and the cuboid each has _________ plane surfaces, _________ edges, and _________ vertices.
(ii) The cuboid has _________ pairs of identical plane surfaces.
(iii) All the surfaces of a cube are _________ to each other.
(iv) All the edges of a cube are _________.
(v) Opposite edges of a cuboid are _________.
(vi) A _________ has no vertex, and no edge.
Ans:
(i) 6, 12, 8
(ii) 3
(iii) equal line
(iv) straight lines
(v) same in size
(vi) sphere

Q5: Write 'true' or 'false' for each statement as the case may be:

(i) Every cuboid is a cube.
(ii) Every cube is a cuboid.
(iii) All faces of a cube are similar in shape and size.
(iv) All the faces of a cuboid are identical.
(v) The cube has 6 faces.
(vi) The base and bottom of a cylinder are identical.
(vii) A cone has no vertex.
(viii) A cylinder has two edges.
(ix) A sphere has no edge.
(x) A cone has two surfaces.
Ans:
(i) False

A cuboid has different lengths, widths, and heights. A cube has all sides equal.

Not every cuboid is a cube.

(ii) True

Explanation: A cube has all sides equal and every cube fits the shape of a cuboid (a box with flat faces), so every cube is a cuboid.

(iii) True

Explanation: All faces of a cube are squares of the same size and shape, so they are similar in shape and size.

(iv) False

A cuboid has 6 faces, but they are not always the same size.

Example: A brick is a cuboid. The front and back may be the same, but the top and sides can be different.

(v) True

Explanation: A cube has six faces.

(vi) True

Explanation: A cylinder has two circular ends (base and top) that are identical in size and shape.

(vii) False

A cone has one pointed end called a vertex.

Example: An ice cream cone has a sharp tip.

(viii) True

Explanation: A cylinder have two circular edges.

(ix) True

Explanation: A sphere is perfectly round and has no edges or vertices.

(x) True

Explanation: A cone has two surfaces: one curved surface and one flat circular base.