Question 7 (12 marks):
You are not allowed to use graph paper to answer this question.

(a) Diagram 7.1 shows a solid prism with a rectangular base JKLM on a horizontal plane. The surface MQRSTL is the uniform cross section of the prism. Triangle STU and PQR are horizontal planes. Edges PJ, RS and UK are vertical. PQ = TU = 3 cm.

Diagram 7.1

Draw to full scale, the elevation of the solid on a vertical plane parallel to KL as viewed from X.


(b) Another solid cuboid with rectangle base JMDE is combined to the prism in Diagram 7.1 at the vertical plane JMQP. The composite solid is as shown in Diagram 7.2. The base EJKLMD lies on a horizontal plane.

Diagram 7.2

Draw to full scale,
(i) the elevation of the composite solid on a vertical plane parallel to EJK as viewed from Y.
(ii) the plan of the composite solid.


Solution:
(a)



(b)(i)



(b)(ii)

Question 6 (12 marks):
You are not allowed to use graph paper to answer this question.

(a) Diagram 6.1 shows two solid right prisms joined at the vertical plane EGLK. The planes JKL and MNP are the uniform cross sections of the prism HEGLJK and prism EFGMNP respectively. The base EFGH is a rectangle which lies on a horizontal plane. Edges HJ and EK are vertical.

Diagram 6.1

Draw, to full scale, the plan of the composite solid.


(b) Another solid half cylinder with a diameter of 4 cm is joined to the prism in Diagram 9.1 at the vertical plane EFQR. The composite solid is as shown in Diagram 6.2. The base HETFG lies on a horizontal plane.

Diagram 6.2

Draw to full scale,
(i) the elevation of the composite solid on a vertical plane parallel to HE as viewed from X.
(ii) the elevation of the composite solid on a vertical plane parallel to EF as viewed from Y.


Solution:
(a)


(b)(i)




(b)(ii)

Question 5 (12 marks):
You are not allowed to use graph paper to answer this question.

(a) Diagram 5.1 shows a pyramid with rectangular base ABCD on a horizontal plane. Vertex E is vertically above C. Triangles BCE and DCE are vertical planes. Triangles ABE and ADE are inclined planes.

Diagram 5.1

Draw to full scale, the plan of the solid.



(b) Another solid cuboid with rectangle base BLKC is joined to the pyramid in Diagram 5.1 at the vertical plane BCFM. The composite solid is as shown in Diagram 5.2. The base ABLKCD lies on a horizontal plane

Diagram 5.2

Draw to full scale,
(i) the elevation of the composite solid on a vertical plane parallel to ABL as viewed from X.

(ii) the elevation of the composite solid on a vertical plane parallel to LK as viewed from Y.


Solution:

(a)



(b)(i)




(b)(ii)