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NCERT Exemplar · Class 7 · Maths

Chapter 12: Practical Geometry Symmetry and Visualising Solid Shapes

Practice each question, then open the answer or worked solution.

Textbook exercises

124 questions
Q71Written answer

A cylinder has no vertex.

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Worked solution

Ans: No vertex is present in the cylinder.

Therefore, the given statement is True.


Q72Written answer

All the faces, except the base of a square pyramid are triangular.

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Worked solution

Ans: The base of a square pyramid is square and the rest of the faces are triangular.

A square pyramid has $4$ triangular faces and one square base.

Therefore, the given statement is True.


Q73Written answer

A pyramid has only one vertex.

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Worked solution

Ans: There are at least four vertices in a pyramid.

Therefore, the given statement is False.


Q74Written answer

A triangular prism has ${\mathbf{5}}$ faces, ${\mathbf{9}}$ edges and ${\mathbf{6}}$ vertices.

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Worked solution

Ans: A triangular prism is a prism that has two triangular bases and three rectangular sides. It has $6$vertices, $9$ edges, and $5$ faces.

Therefore, the given statement is True.


Q75Written answer

If the base of a pyramid is a square, it is called a square pyramid.

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Worked solution

Ans: The name of a pyramid is based on the base of the pyramid. 

Thus, if the base of a pyramid is a square, then it is called a square pyramid.

Therefore, the given statement is True.


Q76Written answer

A rectangular pyramid has ${\mathbf{5}}$ rectangular faces.

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Worked solution

Ans: A rectangular pyramid has in total $5$ faces, out of which $1$ is rectangular.

Therefore, the given statement is False.


Q77Written answer

Rectangular prisms and cuboids refer to the same solid.

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Worked solution

Ans: A rectangular prism is also known as a cuboid.

So, a rectangular prism and cuboid represents the same solid.

Therefore, the given statement is True.


Q78Written answer

A tetrahedron has ${\mathbf{3}}$ triangular faces and ${\mathbf{1}}$ rectangular faces.

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Worked solution

Ans: A tetrahedron has $4$ triangular faces.

Therefore, the given statement is False.


Q79Written answer

While a rectangle is a ${\mathbf{2 - D}}$ figure, a cuboid is a ${\mathbf{3 - D}}$ figure.

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Worked solution

Ans: ${\text{2 - D}}$ shapes including rectangles, squares, circles and triangles. ${\text{3 - D}}$ shapes including cubes, cuboids, spheres etc.

Therefore, the given statement is True.


Q80Written answer

While the sphere is a ${\mathbf{2 - D}}$ figure, the circle is a ${\mathbf{3 - D}}$ figure.

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Worked solution

Ans: ${\text{2 - D}}$ shapes including rectangles, squares, circles and triangles. ${\text{3 - D}}$ shapes including cubes, cuboids, spheres etc.

Therefore, the given statement is False.