Question

The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y = 6. Cross sections of the solid perpendicular to the base are squares. What is the volume, in cubic units, of the solid?

a: 36
b: 18
c: 108
d: 72
@sithsandgiggles

Answer 1

@precal can u plz help? :)

Answer 2

squares means that you are going to use side^2

Answer 3

y=6-x

Answer 4

I believe it is (6-x)^2

Answer 5

you need your limits

Answer 6

"perpendicular to the base"... This should be made clearer, but I'm sure it's intended to mean "perpendicular to one of the axes".

Answer 7

limits are 0 to 6

Answer 8

I believe this is a dx problem

Answer 9

yes you will find your solution now, it is one of the listed ones

Answer 10

sorry I am on an ipad or I would draw this out

Answer 11

The symmetry of the region suggests integrating with respect to either \(x\) or \(y\) will give the same result. I'm just pointing out that the way the question is phrased, it could be taken to mean any one of an infinite variety of things.