Worksheet Chapter 7: Plans and Elevations

1. A wooden block in the shape of a cuboid (8 cm × 6 cm × 4 cm) has a cylindrical hole of radius 2 cm drilled vertically all the way through from top to bottom at its center. (a) Describe the Plan drawing including line types. (b) Describe the Front Elevation drawing including line types.

2. A solid rectangular prism measures 6 cm (length) × 4 cm (width) × 5 cm (height). State the dimensions of: (a) Its Plan. (b) Its Front Elevation (viewed along the length).

3. True or False: The height of an object can be measured directly from its Plan view.

4. True or False: Hidden lines in orthogonal drawings are represented by thin solid lines.

5. A cylinder has a base diameter of 8 cm and a height of 10 cm. Describe the exact shapes and dimensions of: (a) Its Plan. (b) Its Side Elevation.

6. A composite solid consists of a cube of side 5 cm with a right circular cone (base radius 2 cm, height 5 cm) placed on top of its upper face. Describe: (a) The Plan of the composite solid. (b) The Front Elevation of the composite solid.

7. A prism has a uniform cross-section of a trapezium with parallel sides 4 cm and 8 cm, and height 5 cm. The length of the prism is 10 cm. It rests on its largest rectangular base (8 cm × 10 cm). Calculate: (a) The area of the Front Elevation (trapezium view). (b) The total plan area.

8. Fill in the blank: The view of a 3D object projected orthogonally onto a horizontal plane from directly above is called the ________.

9. Which combination of views is sufficient to completely determine the 3D dimensions (length, width, height) of a cuboid?

10. Explain the step-by-step process of using a 45° line in Quadrant IV to construct a Side Elevation from a given Plan in Quadrant III.