If the area of the base, height and volume of a right prism be ({3\sqrt3}/2) p^2 cm^2 , 100 \sqrt3 cm and 7200 cm^3 respectively, then the value of P will be

SSC CGL 16 Aug 2015 Shift 2 Paper

Question : 127 of 200

Marks: +1, -0

If the area of the base, height and volume of a right prism be

({3√3}/2) p^2 cm^2

, 100

√3

cm and 7200

cm^3

respectively, then the value of P will be

Solution:

Volume of prism = Area of base × height
⇒ 7200 =

{3√3}/2 p^2

× 100

√3

⇒ 7200 = 50 × 3 ×

3p^2

⇒

P^2

{7200}/{50×3×3}

= 16
⇒ P =

√{16}

= 4

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