iGCSE (2021 Edition)

12.23 Similar areas and volumes (Extended)

Interactive practice questions

The area of a square is $30$30 cm². Its side length is enlarged by a scale factor of $3$3. What is the area of the new square?

Easy

2min

Consider the two given triangles.

Easy

2min

A square with area $4$4 cm² has its side lengths enlarged by a factor of $3$3.

Medium

1min

Find the area scale factor for each of the following linear scale factors:

Medium

1min

Outcomes

0580C4.1

Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets.

0580E4.1

0580E4.4

Calculate lengths of similar figures. Use the relationships between areas of similar triangles, with corresponding results for similar figures and extension to volumes and surface areas of similar solids.