hexagonal prisms with a volume of 1440 cm cubed
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The problem does not specify what is its request, hence, supposing that you need to evaluate the surface area of hexagonal prism, under the given conditions, yields:
`SA = 6ab + 6bh => SA = 6b(a + h)`
a represents the length of apothem of the hexagonal prism
b represents the length of base of the hexagonal prism.
h represents the height of the hexagonal prism
`BA = 3ab `
BA represents the base area of the prism
The problem provides the volume of the prism, such that:
`V = 3abh => 1440 = 3abh => 1440/h = 3ab => SA = 2*1440/h + 2*1440/a`
`SA = 2880(1/h + 1/a) => SA = 2880((a+h)/(ah))`
Hence, evaluating the surface area of the given hexagonal prism, under the given conditions, yields `SA = 2880((a+h)/(ah)).`
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