Problema Solution
A canvas camping tent is to be constructed in the shape of a pyramid with a square base. An 8−foot pole will form the center supportˏ as illustrated in the figue. Find the lengh x of a side of the base so that the total amount of canvas needed for the sides and bottom is 384 ft2
Answer provided by our tutors
let
h = 8ft the height of the pyramid
x = the length of the side of the base
A = 384 ft^2 the area of the pyramid
A = x^2 + 4*(1/2)x*(h^2 + (x/2)^2)^0.5
x^2 + 2x*(8^2 + (x/2)^2)^0.5 = 384
by solving we find
x = 19.1 ft
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the length of the side of the base is 19.1 ft.