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Computer Aided Engineering Graphics: (as Per the New Syllabus, B. Tech. I Year of U.P. Technical University)

Rajashekar Patil

Chapter 7

Isometric Projections of Combined Solids - all with Video Answers

Educators

Chapter Questions

Problem 1

The frustum of a square pyramid of base side 40 mm , top face side 20 mm and height 60 mm rests on the centre of the top of a square block of side 60 mm and height 20 mm . The base edges of the pyramid are parallel to the top edges of the square block. Draw the isometric projection of the combination of the solids.

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Problem 2

A square pyramid of base side 40 mm and height 70 mm rests centrally over a cube of edge 50 mm , which itself is placed on a cylinder of diameter 80 mm and thickness 30 mm . Draw the isometric projection of the solids, if the axes of the three solids are in common line.

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Problem 3

A regular pentagonal prism of base edge 30 mm and axis 60 mm is mounted centrally over a cylindrical block of 80 mm diameter and 25 mm thick. Draw the isometric projection of the combined solid.

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Problem 4

A sphere of diameter 30 mm rests on the frustum of a hexagonal pyramid base 30 mm , top face 18 mm side and height 50 mm , such that their axes coincide. Draw the isometric projection of the combined solid.

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Problem 5

Draw the isometric projection of a hexagonal prism of sides of base 40 mm and height 60 mm with a right circular cone of base 40 mm diameter and altitude 50 mm , resting on its top such that the axes of both the solids are collinear.

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Problem 6

A hemisphere of diameter 50 mm is centrally resting on top of a square prism of base side 60 mm and height 30 mm such that the curved surface of hemisphere is touching the top face of the prism. Draw its isometric projection.

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Problem 7

. Draw the isometric projection of the combination of solids formed by a frustum of cone and co-axial frustum of pentagonal pyramid. The lower frustum of cone is of 80 mm base diameter, 60 mm top face diameter and height 25 mm . The upper frustum of pyramid is of 30 mm sides of base, 20 mm sides of top face and height 40 mm .

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Problem 8

. A rectangular pyramid of base $40 \mathrm{~mm} \times 25 \mathrm{~mm}$ and height 50 mm is placed centrally on a cylindrical slab of diameter 80 mm and thickness 30 mm . Draw the isometric projection of the combination of solids.

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Problem 9

. A square prism base side 40 mm , height 50 mm is placed centrally on a cylindrical slab of diameter 100 mm and thickness 30 mm . Draw the isometric projection of the combination of solids.

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Problem 10

A square prism base side 40 mm , height 50 mm is placed centrally on a rectangular slab sides $100 \mathrm{~mm} \times 60 \mathrm{~mm}$ and thickness 20 mm . Draw the isometric projection of the combination of solids.

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Problem 11

A frustum of cone base diameter 50 mm , top face diameter 25 mm and height 50 mm is placed centrally on a square slab side 80 mm and thickness 30 mm . Draw the isometric projection of the combination of solids.

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Problem 12

. A hemisphere of diameter 70 mm is placed on the ground on its curved surface. A cone of base diameter 70 mm and height 70 mm is placed centrally on it. Draw the isometric projection of the combination of solids.

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Problem 13

A sphere of diameter 60 mm is placed centrally on the top face of a hexagonal prism of base side 35 mm and height 50 mm . Draw the isometric projection of the combination.

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Problem 14

A sphere of diameter 40 mm is placed centrally on the flat face of a hemisphere of diameter 60 mm . Draw the isometric projection of the combination.

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Problem 15

A triangular pyramid of base side 40 mm and height 50 mm is placed centrally on a square slab side 80 mm and 20 mm thick. Draw the isometric projection of the combination of solids.

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Problem 16

Two rectangular slabs are placed one above the other co-axially with dimensions (lxbxh) 100 $\mathrm{mm} \times 60 \mathrm{~mm} \times 20 \mathrm{~mm}$ and $100 \mathrm{~mm} \times 40 \mathrm{~mm} \times 20 \mathrm{~mm}$ such that longer edges are parallel to VP. Draw the isometric projection of the combination of solids.

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Problem 17

A equilateral triangular prism base sides 30 mm and axis length 70 mm is resting on its rectangular face on top of a square slab of side 70 mm and 25 mm thick. Draw the isometric projection of the combination of solids.

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Problem 18

Three cubes of sides $60 \mathrm{~mm}, 40 \mathrm{~mm}$ and 20 mm are placed centrally one above the other in the descending order of their sides. Draw the isometric projection of the combination.

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Problem 19

A cone of base diameter 50 mm and height 50 mm is placed centrally on an equilateral triangular prism of sides 100 mm and 20 mm thick Draw the isometric projection of the combination.

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Problem 20

A square prism of base side 40 mm and height 70 mm has a full depth co-axial square hole of base side 20 mm , such that edges of both the squares are parallel. Draw the isometric projection of the hollow prism.

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