The prism has a volume of 70 mm3.

Find the volume of a scaled image with a scale factor of 3.

Question

The prism has a volume of 70 mm3.
 
Find the volume of a scaled image with a scale factor of 3.

anonymous · Answer

http://static.k12.com/calms_media/media/1575000_1575500/1575039/1/0ae972292fa3f326bfabb68b6890642d54ed166e/MS_IMB-1400106-1120703.jpg

mathstudent55 · Answer

Multiply each dimension by 3 and find the volume.

anonymous · Answer

so 7 x 3, 5x3, and 2x 3???

anonymous · Answer

@mathstudent55

anonymous · Answer

i got 1890 @mathstudent55

anonymous · Answer

http://41.media.tumblr.com/3535b9eb45650523b63266210c6e8b27/tumblr_ms5thhZgz41r1pzfwo9_540.png

mathstudent55 · Answer

You are correct. The new volume is 1890 mm^3.
Another way of solving this is to realize that when all sides of a solid are dilated by a scale factor of k, the volume changes by a factor of k^3.
In your case, all sides are dilated by a scale factor of 3, so the volume changes by a scale factor of 3^3 = 27.
70 mm^3 * 27 = 1890 mm^3