A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. A regular pent

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.

A regular pentagonal prism is shown. The apothem of each pentagon is 2.8 centimeters. The height of the prism is (2 x + 1). All sides of the pentagon are congruent.

Which expression represents the volume of the prism, in cubic centimeters?
9×2 + 7x
14×2 + 7x
16×2 + 14x
28×2 + 14x

1 thought on “A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. A regular pent”

  1. the expression that represents the volume of the prism is  14x² + 7x cubic centimeters. Option 2

    What is the volume of a pentagonal prism?

    The  volume of a pentagonal prism is determined using the formula;
    V = 5/2abh
    where
    • a is the  apothem
    • h is the height of the prism
    • b is the base of the prism
    Now, let’s substitute the values given
    Let the base be ‘x’
    The apothem is 2. 8 centimeters
    height is 2x + 1
    Volume = 5/ 2 × 2. 8 × x × (2x + 1)
    Volume = 14/ 2 × x(2x + 1)
    Volume = 7x(2x + 1)
    Volume = 14x² + 7x
    Thus, the expression that represents the volume of the prism is  14x² + 7x cubic centimeters. Option 2
    Learn more about a pentagonal prism here:
    #SPJ1

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