AI generatedGeometry and measuresKS3 / GCSE

Drawing plans and elevations

Drawing plans and elevations.

  • Give a mathematical reason for each step.
  • Use matching angles and corresponding sides, not the appearance of a diagram.
  • State the result you have proved at the end.

Example 1

Draw the front and right-side elevations from this plan. Each stack is made of unit cubes. On the right elevation, show the front stack on the left.

Plan of four stacks: numbers show heights in cubes; front row is at the bottom.
Back leftBack right
11
11
Front heights: 1, 1. Right-side heights, front to back: 1, 1.
Front and right elevationsFrontRight side

An elevation shows the tallest stack in each viewing line. Hidden cubes still affect the silhouette.

Example 2

Draw the front and right-side elevations from this plan. Each stack is made of unit cubes. On the right elevation, show the front stack on the left.

Plan of four stacks: numbers show heights in cubes; front row is at the bottom.
Back leftBack right
11
21
Front heights: 2, 1. Right-side heights, front to back: 2, 1.
Front and right elevationsFrontRight side

An elevation shows the tallest stack in each viewing line. Hidden cubes still affect the silhouette.

Your turn

Question 1

Draw the front and right-side elevations from this plan. Each stack is made of unit cubes. On the right elevation, show the front stack on the left.

Plan of four stacks: numbers show heights in cubes; front row is at the bottom.
Back leftBack right
11
31
Check answer
Front heights: 3, 1. Right-side heights, front to back: 3, 1.
Front and right elevationsFrontRight side

An elevation shows the tallest stack in each viewing line. Hidden cubes still affect the silhouette.

Question 2

Draw the front and right-side elevations from this plan. Each stack is made of unit cubes. On the right elevation, show the front stack on the left.

Plan of four stacks: numbers show heights in cubes; front row is at the bottom.
Back leftBack right
11
12
Check answer
Front heights: 1, 2. Right-side heights, front to back: 2, 1.
Front and right elevationsFrontRight side

An elevation shows the tallest stack in each viewing line. Hidden cubes still affect the silhouette.

Question 3

Draw the front and right-side elevations from this plan. Each stack is made of unit cubes. On the right elevation, show the front stack on the left.

Plan of four stacks: numbers show heights in cubes; front row is at the bottom.
Back leftBack right
11
22
Check answer
Front heights: 2, 2. Right-side heights, front to back: 2, 1.
Front and right elevationsFrontRight side

An elevation shows the tallest stack in each viewing line. Hidden cubes still affect the silhouette.

Question 4

Draw the front and right-side elevations from this plan. Each stack is made of unit cubes. On the right elevation, show the front stack on the left.

Plan of four stacks: numbers show heights in cubes; front row is at the bottom.
Back leftBack right
11
32
Check answer
Front heights: 3, 2. Right-side heights, front to back: 3, 1.
Front and right elevationsFrontRight side

An elevation shows the tallest stack in each viewing line. Hidden cubes still affect the silhouette.

Question 5

Draw the front and right-side elevations from this plan. Each stack is made of unit cubes. On the right elevation, show the front stack on the left.

Plan of four stacks: numbers show heights in cubes; front row is at the bottom.
Back leftBack right
11
13
Check answer
Front heights: 1, 3. Right-side heights, front to back: 3, 1.
Front and right elevationsFrontRight side

An elevation shows the tallest stack in each viewing line. Hidden cubes still affect the silhouette.