Get premium membership and access revision papers with marking schemes, video lessons and live classes.

Processing. Please wait.

similarity and enlargement lesson on scale factor

Answer Text:
SCALE FACTOR
The scale factor can be whole number, negative or fraction. Whole number scale factor means that the image is on the same side as the object and it can be larger or the same size.
Negative scale factor means that the image is on the opposite side of the object and a fraction whole number scale factor means that the image is smaller either on the same side or opposite side.
Linear scale factor is a ratio in the form a: b or #a/b#. This ratio describes an enlargement or reduction in one dimension, and can be calculated using.
New Length/Original Length
Area scale factor
This ratio describes how many times to enlarge.
Or reduce the area of two dimensional figure. Area scale factor can be calculated using.
New Area/Original Area
Area scale factor= (linear scale factor)^2
Volume scale factor is the ratio that describes how many times to enlarge or reduce the volume of a three dimensional figure.
Volume scale factor can be calculated using. New Volume/Original Volume.
Volume scale factor = (linear scale factor)^3

Example. Two containers have base area of #120 cm^2# and #750 cm^2# respectively. Calculate the volume of the larger container in litres given the volume of the smaller container is #400 cm^3 #