Question 8:
You are not allowed to use graph paper to answer this question.
You are not allowed to use graph paper to answer this question.
(a) Diagram 8.1 shows a solid right prism with rectangular base EFGH on a horizontal table. The surface EFRJKL is the uniform cross-section of the prism. Rectangle KLMN and JPQR are horizontal planes. Rectangle JKNP is an inclined plane. RF and LE are vertical edges.
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2016/10/Picture25-1.png)
Diagram 8.1
Draw full scale, the elevation of the solid on a vertical plane parallel to EF as viewed from X [3 marks]
(b) A solid cuboid is removed from the solid in Diagram 8.1. The remaining solid is as shown in Diagram 8.2. Rectangle TUVW is a horizontal plane. JT and BW are vertical edges. UF = 4 cm and UV= 3 cm.
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2016/10/Picture26-1.png)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2016/10/Picture26-1.png)
Diagram 8.2
Draw to full scale,
(i) the plan of the remaining solid. [4 marks]
(ii) the elevation of the remaining solid on a vertical plane parallel to FG as viewed from Y. [5 marks]
Solution:
(a)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2016/10/Picture18-2.png)
(b)(i)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2016/10/Picture19-1.png)
(b)(ii)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2016/10/Picture20-1.png)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2016/10/Picture20-1.png)