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Charra [1.4K]
4 years ago
5

One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller pri

sm is 4.75 cm 3 , what is the volume of the larger prism?
Social Studies
1 answer:
stepladder [879]4 years ago
8 0

Answer:128.25

Explanation:

Given

Smaller Prism volume =4.75 cm^3

and it is given that the larger prism has dimensions that are triple the dimension of a similar hexagonal prism

and we know volume of prism is given by

V=\frac{3\sqrt{3}}{2}a^2h

where a=side of hexagon

H=height of prism

larger prism dimensions

a'=3a

h'=3h

V_{larger}=\frac{3\sqrt{3}}{2}(3a)^2(3h)

V_{larger}=27V_{original}

V_{larger}=128.25 cm^3

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