10.3 Plan and Elevation, SPM Paper 2 (Long Questions)


Question 3:

The diagram above shows a right prism attach to a cuboid at one of its plane. ABCG and CDEF, IJNH and KLMJ are horizontal planes, ABIH, AGNH and GCJN are vertical planes while IBCJ is an inclined plane. HA = 3cm, BC = 3cm, CD = 1.5cm, HI = NJ = JK = 3cm. Draw to full scale

(a) The elevation of the solid on a vertical plane parallel to AB as viewed from X.




(b) A solid semi-cylinder is joined to the solid in A as show in the diagram above. JPON is a vertical plane and JP = 1.5cm. Draw to full scale
i. The plan of the solid
ii.   The elevation of the solid on a vertical plane parallel to BCD as viewed from Y.

Solution:

(a)

(b)(i)


(b)(ii)


Question 4:
The diagram above shows a solid consisting of a right prism and a half-cylinder which are joined at the plane HICB. The base ABCDEF is on a horizontal plane. The rectangle LKJG is aninclined plane. The vertical plane JDEK is the uniform cross-section of the prism. AB = CD = 2cm. BC = 4cm. CM = 12cm.
Draw to full scale
(a)  The plan of the solid
(b) The elevation of the solid on a vertical plane parallel to ABCD as viewed from X.
(c)  The elevation of the solid on a vertical plane parallel to DE as viewed from Y.
 
Solution:
(a)

(b)




(c)


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