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For a regular hexagon:

side_hexagon = perimeter ÷ 6

Area_hexagon = 3/2 × √3 × side²

= 3/2 × √3 × (perimeter ÷ 6)²

Volume_prism = area_hexagon × length

= 3/2 × √3 × (48 cm ÷ 6)² × 15 cm

= 3/2 × √3 × (8 cm)² × 15 cm

= 3/2 × √3 × 64 cm² × 15 cm

= 1440√3 cm³

≈ 2494.2 cm³

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6y ago
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6y ago

It is 2494.2 cm3 approx.

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Q: What is the volume of a regular hexagonal prism with a perimeter of 48 cm and a length of 15 cm?
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