Visualising Solid Shapes
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Plane Figures and Solid Shapes (Faces, Edges, Vertices)
SubtopicPlane Figures and Solid Shapes (Faces, Edges, Vertices) under Visualising Solid Shapes for Grade 7 CBSE.
Preview questions (no answers)
- 1.
What is the shape of the lateral faces of a regular prism?
A.Triangle
B.Rectangle
C.Circle
D.Pentagon
- 2.
How many vertices are there in an octagonal prism?
A.B.C.D. - 3.
The number of faces in an octagonal prism is:
A.B.C.D. - 4.
How many edges are in an octagonal pyramid?
A.B.C.D. - 5.
How many faces does a nonagonal prism (9-sided base) have?
A.9
B.18
C.11
D.27
- 6.
How many vertices are in a pyramid whose base has 12 sides?
A.12
B.13
C.24
D.11
- 7.
A polyhedron has faces and vertices. Which of the following could it be?
A.Triangular Prism
B.Square Pyramid
C.Cuboid
D.Tetrahedron
- 8.
If a polyhedron has 8 vertices and 6 faces, and all its edges are of equal length, it is a:
A.Cuboid
B.Cube
C.Triangular Prism
D.Square Pyramid
- 9.
A prism has vertices and edges. If , how many faces does the prism have?
A.10
B.12
C.14
D.8
- 10.
Which of the following can be the cross-section of a cylinder when cut vertically but not through the center?
A.Circle
B.Rectangle
C.Square
D.Ellipse
Download the worksheet for Visualising Solid Shapes - Plane Figures and Solid Shapes (Faces, Edges, Vertices) to practice offline. It includes additional chapter-level practice questions.
Nets for Building 3-D Shapes
SubtopicNets for Building 3-D Shapes under Visualising Solid Shapes for Grade 7 CBSE.
Preview questions (no answers)
- 1.
If a net has rectangles and triangles, it can be folded to form a:
A.Triangular Pyramid
B.Triangular Prism
C.Square Pyramid
D.Cylinder
- 2.
How many rectangular faces are in the net of an octagonal prism?
A.B.C.D. - 3.
A net with triangular faces can fold into a:
A.Square Pyramid
B.Triangular Prism
C.Triangular Pyramid
D.Cube
- 4.
What -D shape forms the curved boundary of a cone's net?
A.Circle
B.Sector
C.Oval
D.Rectangle
- 5.
In a net for a cube, how many squares meet at a single point (vertex) when the shape is fully folded?
A.2
B.3
C.4
D.1
- 6.
How many faces will the net of a hexagonal pyramid have in total?
A.6
B.7
C.8
D.12
- 7.
A net has 4 rectangles and 2 squares. Which shape can be formed?
A.Cube
B.Square Prism (Cuboid)
C.Square Pyramid
D.Triangular Prism
- 8.
Which of these is a property of any net of a cube?
A.No more than 4 squares can be in a single row
B.At least two squares must be in every row
C.There are always 14 vertices on the boundary
D.The perimeter is always times the side length
- 9.
Can a net of a cube be formed by 6 squares in a straight line?
A.Yes
B.No, because it will just wrap around itself
C.Only if the squares are of different sizes
D.Only if we fold it diagonally
- 10.
A net has 2 hexagons and 6 rectangles. If the hexagons are regular with side and the rectangles are , what is the total number of vertices in the resulting solid?
A.8
B.12
C.16
D.24
Download the worksheet for Visualising Solid Shapes - Nets for Building 3-D Shapes to practice offline. It includes additional chapter-level practice questions.
Drawing Solids on a Flat Surface (Oblique & Isometric Sketches)
SubtopicDrawing Solids on a Flat Surface (Oblique & Isometric Sketches) under Visualising Solid Shapes for Grade 7 CBSE.
Preview questions (no answers)
- 1.
Which of the following properties is shared by both oblique and isometric sketches of a cuboid?
A.Parallel edges of the solid remain parallel in the sketch
B.The front face is always a true square
C.The depth is always drawn as half the height
D.All edges must be drawn at to each other
- 2.
Which of these features helps in visualizing the hidden edges of a solid in a mathematical sketch?
A.Bright colors
B.Dotted or dashed lines
C.Thick solid borders
D.Using a compass
- 3.
If you draw a triangle by connecting 3 dots that are all 1 unit apart on an isometric sheet, what type of triangle is formed?
A.Right-angled triangle
B.Isosceles triangle
C.Equilateral triangle
D.Scalene triangle
- 4.
In an isometric sketch, a square face of a cube appears as which shape?
A.A perfect square
B.A circle
C.A rhombus or parallelogram
D.A triangle
- 5.
What is the primary meaning of the word 'oblique' in the context of these sketches?
A.Equal measurement
B.Slanted or at an angle
C.Perfectly square
D.Transparent
- 6.
In an isometric sketch, if two edges of a solid are equal in reality, they will be drawn using:
A.The same number of dot-to-dot units
B.Different numbers of dots if one is vertical
C.A smaller number of dots for the slanted axis
D.The same number of dots only if they are parallel
- 7.
When looking at an isometric sketch of a cube where only the visible part is shown, how many vertices of the actual cube are hidden from view?
A.B.C.D. - 8.
A cuboid is drawn obliquely with the face in front. If the receding edge (length 1) is drawn at and scale, what is the perimeter of the 2D shape of the side face?
A.4 units
B.units
C.units
D.6 units
- 9.
In an isometric sketch of a cube, how many sets of 3 or more collinear dots exist on the visible edges?
A.6
B.9
C.12
D.15
- 10.
If you draw the isometric sketch of a octahedron (two square pyramids joined at their bases), how many dots are needed to represent the vertices?
A.5
B.6
C.7
D.8
Download the worksheet for Visualising Solid Shapes - Drawing Solids on a Flat Surface (Oblique & Isometric Sketches) to practice offline. It includes additional chapter-level practice questions.
Viewing Different Sections of a Solid (Slicing, Shadow Play)
SubtopicViewing Different Sections of a Solid (Slicing, Shadow Play) under Visualising Solid Shapes for Grade 7 CBSE.
Preview questions (no answers)
- 1.
What is the shape of the cross-section of a rectangular gift box when cut vertically?
A.Triangle
B.Square
C.Rectangle
D.Circle
- 2.
If you give a vertical cut to a cylindrical candle, what is the shape of the cross-section?
A.Circle
B.Rectangle
C.Triangle
D.Square
- 3.
A flat circular CD is lying on a table. If a light is directly above it, the shadow is a:
A.Rectangle
B.Triangle
C.Circle
D.Square
- 4.
If you cut an orange horizontally, what is the shape of the cross-section?
A.Circle
B.Square
C.Triangle
D.Rectangle
- 5.
If a solid is cut horizontally at any height, what is the shape of the resulting cross-section?
A.B.C.D. - 6.
A tall rectangular box is placed on the ground at noon. If the sun is directly overhead, what is the shape of its shadow?
A.B.C.D. - 7.
A is lying on one of its rectangular faces. If it is sliced vertically, parallel to its triangular ends, what is the shape of the cross-section?
A.B.C.D. - 8.
A plane slices a cube such that it intersects exactly four faces. Which of these shapes could NOT be the resulting cross-section?
A.Square
B.Rectangle
C.Trapezium
D.Regular Pentagon
- 9.
A sphere is placed on a table. A light source is moved from directly above the sphere to a lower position on the side. What happens to the shadow's shape on the table?
A.Stays a circle
B.Becomes an ellipse
C.Becomes a parabola
D.Disappears
- 10.
A shadow of an object is a triangle from one direction and a rectangle from another. Which solid could it be?
A.Cone
B.Triangular Prism
C.Square Pyramid
D.Cylinder
Download the worksheet for Visualising Solid Shapes - Viewing Different Sections of a Solid (Slicing, Shadow Play) to practice offline. It includes additional chapter-level practice questions.