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A  particular right pyramid has a square base, and each edge of the pyramid is four inches long. What is the volume of the pyramid in cubic inches? Express your answer as a decimal to the nearest hundredth.

azsun  Mar 17, 2018
 #1
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A  particular right pyramid has a square base, and each edge of the pyramid is four inches long. What is the volume of the pyramid in cubic inches? Express your answer as a decimal to the nearest hundredth.

 

laugh

Omi67  Mar 17, 2018
edited by Omi67  Mar 17, 2018
 #2
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Surface area of one face =1/2*4^2*sin(45) =5.657 in^2

Height =5.657 / 2 =2.828 inches.

Volume =1/3 * 4^2 * 2.828 = 15.08 in^3.

Guest Mar 17, 2018
 #3
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If the slant height = edge length = 4 inches, then

Height =Sqrt[4^2 - 2^2] =sqrt(12) =3.464 inches

Volume =1/3 x 4^2 x 2.464 =~18.48 in^3

Guest Mar 17, 2018

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