The base of a solid is bounded by the graphs of y=3x, y=6, and x=0. The cross sections perpindcular to the x axis are rectangles with perimeter 20, find the volume

Question

amistre64 · Answer

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amistre64 · Answer

what does this part tell us: The cross sections perpindcular to the x axis are rectangles with perimeter 20

anonymous · Answer

yes

amistre64 · Answer

perimeter never changes is what the means to me;

P = 2z + 2y; where we know y = 6-3x

amistre64 · Answer

20 = 2z + 2(6-3x)

10 = z+ 6-3x

4+3x = z

anonymous · Answer

if yes exactly

amistre64 · Answer

so x is from 0 to 2 if i see it right; y = 6 when 3x = 6

anonymous · Answer

what is it that i am integrating though, i missed that

anonymous · Answer

like we said z was height right?? and we said z is 4+3x right?

amistre64 · Answer

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