The volume of Figure B is 15 [tex]ft^{3}[/tex]
What is ratio of similarity in similar figures?
The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio.
According to the question
Figure A ≈ Figure B
Therefore , ratio of corresponding sides have the same ratio .
Figure A Figure B
4 ft ⇒ 2 ft (given )
( As ratio of [tex]\frac{side\\\ of\\\ figure A}{side\\\ of\\\ figure B} = \frac{2}{1}[/tex] )
10 ft ⇒ 5 ft
3 ft ⇒ 1.5 ft
Now, volume of Figure B (which is cuboid ) = Length * Breath * Height
= 2 * 5 * 1.5
= 15 [tex]ft^{3}[/tex]
Hence, the volume of Figure B is 15 [tex]ft^{3}[/tex]
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