- Draw 2D diagram of the following :
(a) Rectangle- based prism:
(b) Square – based prism:
(c) Square – based pyramid:
(d) Tetrahedron: (triangular pyramid)
(e) Square – based oblique prism:
(f) Square – based oblique pyramid:
(g) Triangular – based oblique prism:
Solution:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
- Differentiate between
(a) Right prism and oblique prism.
(b) Height and slant height of a pyramid.
(c) Prism and pyramid.
Solution:
(a) | Right prism | oblique prism |
Right prism are prism whose lateral edges are perpendicular to the base . | prism is a prism whose lateral edges are not perpendicular to the base.
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(b) | Height of a pyramid | slant height of a pyramid. |
The perpendicular distance between the base and vertex of the pyramid is height of pyramid (h)
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The perpendicular distance between vertex of pyramid to the edge of the base is slant height (L)
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(c) | Prism | pyramid. |
Prism is a solid which has 2 base.
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Pyramid is a solid which has only 1 base.
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- Classify the following solids in to regular and irregular prisms:
(a) Rectangular based prism
(b) Equilateral triangle based prism
(c) Square based prism
(d) Cude
(e) Right triangle based prism
(f) Scalene triangle based prism
Solution:
(a) Rectangular based prism – irregular prism.
(b) Equilateral triangle based prism – regular prism.
(c) Square based prism – regular prism.
(d) Cude – regular prism.
(e) Right triangle based prism – regular prism.
(f) Scalene triangle based prism – irregular prism.
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