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(D) The volume of a prism is given by the formula: $	ext{Volume} = 	ext{Area of base} 	imes 	ext{Height}$.Given:$	ext{Area of base} = \frac{3 \sq

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$4$

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(D) The volume of a prism is given by the formula: $	ext{Volume} = 	ext{Area of base} 	imes 	ext{Height}$.Given:$	ext{Area of base} = \frac{3 \sqrt{3}}{2} P^{2} \, 	ext{cm}^{2}$$	ext{Height} = 100 \sqrt{3} \, 	ext{cm}$$	ext{Volume} = 7200 \, 	ext{cm}^{3}$Substituting these values into the formula:$7200 = \left( \frac{3 \sqrt{3}}{2} P^{2} ight) 	imes (100 \sqrt{3})$$7200 = \frac{3 	imes 100 	imes (\sqrt{3} 	imes \sqrt{3})}{2} 	imes P^{2}$$7200 = \frac{300 	imes 3}{2} 	imes P^{2}$$7200 = 450 	imes P^{2}$$P^{2} = \frac{7200}{450}$$P^{2} = 16$$P = 4$.

If the area of the base,height,and volume of a right prism are $(3 \sqrt{3} / 2) P^{2} \, \text{cm}^{2}$,$100 \sqrt{3} \, \text{cm}$,and $7200 \, \text{cm}^{3}$ respectively,then the value of $P$ is?

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