Lower Base
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the lower base of the Frustum is a square 8ft on each side. the upper base is a square 4ft on each side.?
Find the slant height.
A)4ft
B)5.66ft
C)6ft
D)6.32ft
Can someone tell me how to solve this problem I'm really stuck.
Hi,
This question does need more information, namely the height of the frustrum.
But, looking at the 2 bases, the difference in the lengths of their sides is 8 - 4 or 4 ft. If the bases are lines up with their center points aligned, then that 4 ft difference is divided into a 2 ft difference on each side. Then 2 find the slant height, you'd need to do sqrt(2^2 + height^2) = slant height.
Looking at your answer choices and working backwards, the one that gives a "nice" number for the height is if the slant height is 6.32 ft. If that's the case, then
sqrt(2^2 + height^2) = slant height
sqrt(2^2 + height^2) = 6.32
sqrt(2^2 + height^2) = 6.32
sqrt(4 + height^2) = 6.32
Squaring both sides gives
4 + height^2 = 40
height^2 = 36
height = 6
So I think you forgot to say the height of the frustrum was 6 feet. If it was, then the slant height is 6.32 ft.
I hope that helps!! 
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Abandoned Mount Laguna Air Force Station - lower base - part 1
