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Sagot :
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:
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