volume -similar solids

[tamiatha]

Solids A & B are similar. The height of solid A is 6 meters and the height of solid B is 15 meters. If the volume of solid B is 250 cubic meters, what is the volume of Solid A?
my solution:
6/15 = x/250
15x = 1500
x = 100 meters (or should it be in cubic meters)
am i correct?
thank you

 

[Aladdin]

yep, that what I also got :wink:

 

[wjm11]

Solids A & B are similar. The height of solid A is 6 meters and the height of solid B is 15 meters. If the volume of solid B is 250 cubic meters, what is the volume of Solid A?
my solution:

6/15 = x/250
15x = 1500
x = 100 meters (or should it be in cubic meters)

We cannot use the ratio of the sides directly to solve for volume. We can use it to find other ratios, however, such as the ratio of the areas or the ratio of the volumes:

Ratio of sides: (6/15)

Ratio of areas: (6/15)^2

Ratio of volumes: (6/15)^3

You must use the ratio of the volumes to solve for volume. And yes, the answer will be in cubic meters.

 

[stapel]

yep, that what I also got

Then you did the work incorrectly. Sorry.

To the original poster, please use the method explained in the second reply, not the first, as it outlines the correct methodology and concepts. For further information, try here.

Apologies for any confusion.