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One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

4.75 cm3
14.25 cm3
42.75 cm3
128.25 cm3

Answer :

Answer:

128.25 cm³

Step-by-step explanation:

Volume of an hexagonal prism:

The volume of an hexagonal prism is given by:

[tex]V = \frac{3\sqrt{3} a^2h}{2}[/tex]

In which a and h are the dimensions.

Triple the dimensions

This means that the volume will be multiplied by 3^3, 27(as there are 3 terms which are dependent of the dimensions, a² and h).

If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

27*4.75 = 128.25 cm³

128.25 cm³ is the answer

Answer:

128.25 cm3

Step-by-step explanation: