Question

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

Answer 1

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

Answer 2

yes

Answer 3

perimeter never changes is what the means to me;

P = 2z + 2y; where we know y = 6-3x

Answer 4

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

10 = z+ 6-3x

4+3x = z

Answer 5

if yes exactly

Answer 6

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

Answer 7

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

Answer 8

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