Problem solving with plans and elevations | Maths | Quizalize & Oak National Academy

Starter quiz

The type of paper shown in the diagram is called ______ paper.

'isometric' ✓
The diagram shows a solid constructed from cubes. Which figure shows the front elevation of the solid?

a

b ✓

c

d

e
The diagram shows a solid constructed from cubes. Which figure shows the side elevation of the solid?

a

b

c ✓

d

e
The diagram shows a solid constructed from cubes. Which figure shows the plan of the solid?

a

b

c

d

e ✓
The diagram shows a solid constructed from cubes. The ___________ has been drawn incorrectly.

front elevation

plan

side elevation ✓
Which solid matches the front elevation, side elevation and plan as the figures shown in the boxes?

a

b

c

d ✓

e

The plan of a solid is the view of it from __________.

above ✓

a diagonal point of view

the front

the side
Jacob is producing a scale drawing of a building using the scale 1 : 500. The building is 80 m tall. The height of Jacob's scale drawing should be ______ cm.

'16' ✓
Jacob is correctly producing a scale drawing of a building using the scale 1 : 400. The height of Jacob's scale drawing is 8 cm. The actual height of the building is ______ m.

'32' ✓
The diagram shows the plan and elevations for a cuboid. The value of $x$ is ______.

'6' ✓
The diagram shows the plan and elevations for a cuboid. The value of $y$ is ______.

'3' ✓
The diagram shows an isometric drawing of a cuboid, along with its plan and elevations. Which unknowns are equal to 5?

$a$

$b$ ✓

$c$

$d$ ✓

$e$

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The plans and elevations may be drawn to scale.
You can combine an isometric drawing with its plan and elevations to find missing information.
Scaling could be indicated by a scale factor or a ratio.

Curves cannot be drawn on isometric paper.

It is perfectly possible to draw a curve on isometric paper.

Plan - The plan of a solid is the view of it from above.
Front elevation - The front elevation of a solid is the view of it from the front.
Side elevation - The side elevation of a solid is the view of it from the side.
Isometric paper - Isometric means distances between points stay the same. In this lesson you may use isometric paper which has equally spaced dots or points.