**Question 15**:

You are

**not**allowed to use graph paper to answer this question.

**(a)**Diagram 9.1 shows a solid prism with a rectangular base

*PQRS*on a horizontal plane. The right-angled triangle

*PQU*is the uniform cross section of the prism. The rectangle

*PUTS*is an inclined plane. Edges

*QU*and

*RT*are vertical.

**Diagram 9.1**

Draw to full scale, the plan of the solid. [3 marks]

**(**

**b)**Another solid cuboid with rectangular base

*QHJR*and trapezium

*HNMQ*is joined to the prism in Diagram 9.1 at the vertical plane

*QRTU*. Trapezium HNMQ is the uniform cross section of the prism. The composite solid is as shown in Diagram 9.2. The base

*PQHJRS*lies on a horizontal plane.

*PQH*is collinear.

**Diagram 9.2**

Draw to full scale,

**(i)**the elevation of the composite solid on a vertical plane parallel to

*PQH*as viewed from

*X*. [4 marks]

**(ii)**the elevation of the composite solid on a vertical plane parallel to HJ as viewed from

*Y*. [5 marks]

**Solution**:**(a)**

**(b)(i)**

**(b)(ii)**