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anonymous
 one year ago
Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.
anonymous
 one year ago
Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you know the formula for the volume of a pyramid?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here it is: \(A_{pyramid} = \dfrac{1}{3}Bh\) where B = area of the base

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0these are the answers i can choose from: 4 inches 8 inches 16 inches 24 inches

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In this case, the base is a square. If the side of the square has length s, the area of the base is \(s^2\). Ok so far?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now enter all the info we have in the formula. The side is unknow, s, and the area of the base is \(s^2\). The volume is 48 in^3. The height is 9 in.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(A_{pyramid} = \dfrac{1}{3} Bh\) \(48.~in^3 = \dfrac{1}{3} \times s^2 \times 9 ~in.\) Since all units are inches and cubic inches, I'll leave out the units to simplify the problem. Our answer will be in inches. \(48 = \dfrac{1}{3} \times s^2 \times 9\) On the right side, 9/3 = 3, so we have: \(48 = 3s^2\) Divide both sides by 3: \(16 = s^2\) \(s^2 = 16\) \(s = 4\) The length of the side is 4 in.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks u rock :D :D :D
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