The base of a right pyramid is a square of base 6 cm and lateral surface area 360 cm2, then what will be its volume?a)12andradic;892 cm3b)12andradic;891 cm3c)12andradic;893 cm3d)11andradic;891 cm3Correct answer is option 'B'. Can you explain this answer?

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The base of a right pyramid is a square of base 6 cm and lateral surface area 360 cm², then what will be its volume?

a)
12√892 cm³
b)
12√891 cm³
c)
12√893 cm³
d)
11√891 cm³

Correct answer is option 'B'. Can you explain this answer?

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The base of a right pyramid is a square of base 6 cm and lateral surfa...

Lateral surface area = 1/2 × Base perimeter × Slant height
⇒ 360 = 1/2 × 24 × Slant height
⇒ Slant height = 30 cm
Height of the pyramid = √(30²- 3²)
⇒ Height of the pyramid = √891 cm
∴ Volume of right pyramid = 1/3 × Base area × Height = 12√891 cm³

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The base of a right pyramid is a square of base 6 cm and lateral surface area 360 cm2, then what will be its volume?a)12√892 cm3b)12√891 cm3c)12√893 cm3d)11√891 cm3Correct answer is option 'B'. Can you explain this answer?

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