The ratio between the areas of two similar prisms is 4:9. If the mass of the smaller prism is 48 kilograms, what is the mass of the larger prism?

Question

1049 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-29T10:54:47

The mass of larger prism is #162# killograms. [Ans]

Mass is related to volume , Mass = Volume multiplied by density.

The ratio of area (2 dimension) of two similar prisms is # 4:9#

So the ratio of l/b/h (1 dimension) of two similar prisms is

# sqrt(4): sqrt (9) or 2:3# and the ratio of volume (3 dimension) of

the similar prisms is # 2^3:3^3 or 8:27#

Hence the ratio of masses of the similar prisms is # 8:27#.

The mass of smaller prism is #48# killograms.

Therefore the mass of larger prism is #27/8*48= 162# killograms. [Ans]