**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*.

**Another solid cuboid with rectangle base**

(b)

(b)

*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)**