Two similar solids are shown below.

What is the volume of the larger solid?

Question

Two similar solids are shown below.


 
What is the volume of the larger solid?

anonymous · Answer

attachment

anonymous · Answer

is the answer 1024?

anonymous · Answer

@dymium

anonymous · Answer

If only the one dimension shown has changed: ie, 4 ft -> 8 ft, then yes, 1024 ft^3! :D

I don't know if the problem is suggesting that all of the sides of the shape are doubled in length, in which case 

V1 = a * b * c

V2 = 2a * 2b * 2c

V2 = 8 * a * b * c

So V2 = 8 V1.

But yeah, I'm not sure which one they're going for here. They're only clear about on length being doubled, at least, so from the info given I'd lean towards 1024 ft^3.

phi · Answer

They state "two similar figures"  so I would assume they doubled all 3 dimensions.   so you volume is 2^3 times bigger.

anonymous · Answer

it'd be tempting to point out their lack of clarity by giving some nonsense answer and annotating it as "the figure on the right has a large segment cut out at the back". Grr.

anonymous · Answer

so 4096 ft^3?

phi · Answer

yes 4096.   
@dymium I've seen worse questions.  Yesterday there was a multiple choice on the area of a circle, and all the answers left out the factor of pi.