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26 February, 08:04

If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

A. SA = n (1/8lb) + 1/16B

B. SA = n (1/24lb) + 1/16B

C. SA = n (1/24lb) + 1/4B

D. SA = n (1/12lb) + 1/4B

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Answers (1)
  1. 26 February, 08:25
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    Base area: B = b²

    B 1 = (b/4) ² = b²/16 = B/16

    Lateral area:

    LA = 4 lb / 2

    LA 1 = 4 l / 3 b / 8 = 4 · lb/24, n = 4

    SA = LA 1 + B 1

    Answer: B) SA = n (1/24 lb) + 1/16 B
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