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Mathematics 15 Online
OpenStudy (anonymous):

MEDAL AND FAN!!! The prism has a volume of 160 cm3. Find the volume of a scaled image with a scale factor of 1/2 cm3 http://static.k12.com/calms_media/media/1575000_1575500/1575037/1/14210228bd2d3723fbe19813301a4e2952dafda0/MS_IMB-1400106-1120701.jpg

OpenStudy (anonymous):

\[=\frac{ 1 }{ 2 }\times160\]\[=?\]

OpenStudy (anonymous):

80

OpenStudy (anonymous):

yep :)

OpenStudy (anonymous):

that the answer?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

thx

OpenStudy (anonymous):

yw

OpenStudy (displayerror):

The scale factor tells you how much each side is scaled by. The volume of a cube is given by \[\text{Vol} = L \times W \times H\] What if we scale each side by 1/2 (we multiply each side by 1/2)? \[\text{Vol} = \frac{1}{2}L \times \frac{1}{2}W \times \frac{1}{2}H = \frac{1}{8} \left(L \times W \times H \right)\] Which suggests that scaling the figure by a factor of 1/2 will result in multiplying the volume by 1/8.

OpenStudy (anonymous):

they got the same answer as you did

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