Answer:
I just did this, b is incorrect the answer is A
Step-by-step explanation:
Your volume should come out to equal 4046.6
Volume is a three-dimensional scalar quantity. The volume of the pentagonal prism is 4,046.6 cm³.
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The base edge length of the right regular pentagonal prism has a base edge length of 14cm, therefore the area of the base of the pentagonal prism will be,
[tex]A=\dfrac14\sqrt{5(5+2\sqrt5)a^2}\\\\A= \dfrac14\sqrt{5(5+2\sqrt5)(14)^2}\\\\A = 337.213\rm\ cm^2[/tex]
Also, the height of the prism is 12cm. Therefore, The volume of the pentagonal prism is,
Volume = (Area of the pentagon) × Height
Volume = 337.213cm² × 12cm
Volume = 4,046.556 cm³ ≈ 4046.6 cm³
Hence, the volume of the pentagonal prism is 4,046.6 cm³.
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