The expression that represents the volume of the pentagonal prism in cubic centimetres is 7(2x² + x).
Volume of a pentagonal prism
volume of a pentagonal prism = 1 / 2 (5s × a) h
where
s = x cm
a = 2.8 cm
h = 2x + 1
volume of a pentagonal prism = 1 / 2 (5(x) × 2.8)(2x + 1)
volume of a pentagonal prism = 1 / 2 × 5x × 2.8 × (2x + 1)
volume of a pentagonal prism = 1 / 2 × 14x × (2x + 1)
volume of a pentagonal prism = 28x² + 14x / 2
volume of a pentagonal prism = 14(2x² + x) / 2
volume of a pentagonal prism = 7(2x² + x)
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