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?

1 Answer
Jul 29, 2017

The mass of larger prism is 162162 killograms. [Ans]

Explanation:

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

The ratio of area (2 dimension) of two similar prisms is 4:94:9

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

sqrt(4): sqrt (9) or 2:34:9or2:3 and the ratio of volume (3 dimension) of

the similar prisms is 2^3:3^3 or 8:2723:33or8:27

Hence the ratio of masses of the similar prisms is 8:278:27.

The mass of smaller prism is 4848 killograms.

Therefore the mass of larger prism is 27/8*48= 16227848=162 killograms. [Ans]