Question

The sink in Josh’s art studio measures 16 inches by 15 inches by 6 inches. A second sink used just for paint brushes has a similar shape and is smaller by a scale factor of 1/2. Find the volume of the second sink.

Answer 1

Linear scale factor =1/2
volume scale factor=(1/2)³=1/8
the volume of the larger figure will be:
volume=length*width*height
volume=16×15×6
volume=1440 cubic inches
thus volume of the small sink will be:
1/8×1440
=180 cubic inches