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  • 22-04-2020
  • Mathematics
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The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6. What is the Volume and SA

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Immaculata
Immaculata Immaculata
  • 23-04-2020

Answer:

Step-by-step explanation:

The volume is [tex]\frac{1}{3} BAh\\[/tex]

where BA is the base area of the pyramid and h the slant height

BA for square pyramid = 5*9 = 45

Volume = [tex]\frac{1}{3} * 45 * 6 = 90[/tex]

[tex]\ SA = BA + 2 *\frac{1}{2} * 5*6 + 2 *\frac{1}{2} * 9 * 6[/tex]

SA = 45 + 30 + 54 = 124

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