How does a scale factor change the size of a figure?
2 answers:
The scale factor can change how big or small a figure is, though it will still be similar. For example, a triangle with two sides measuring 3 & 3 (isosceles) are scaled in a factor of 6 (becoming larger).
3 x 6 = 18
The new triangle will have the sides measuring 18. Even though the triangles are not congruent, they are similar.
hope this helps
3 x 6 = 18
The new triangle will have the sides measuring 18. Even though the triangles are not congruent, they are similar.
hope this helps
You might be interested in
Answer:
The volume of the larger solid is
Step-by-step explanation:
<u><em>The question is</em></u>
If these solids are similar, find the volume of the larger solid
step 1
Find the scale factor
we know that
If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
x ----> the height of the larger solid in mm
y ----> the height of the smaller solid in mm
z ---> the scale factor
we have
substitute
---> scale factor
step 2
Find the volume of the larger solid
we know that
If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
x ----> the volume of the larger solid in cubic millimeters
y ----> the volume of the smaller solid in in cubic millimeters
z ---> the scale factor
we have
substitute the values
solve for x