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 = 4. Cross sections of the solid perpendicular to the base are squares. What is the volume, in cubic units, of the solid?
a. 8
b. 32/3
c. 64/3
d. 128/3

Answer 1

@acxbox22 @amistre64 @rational @Michele_Laino @dtan5457 @inowalst @Loser66 @phi @jigglypuff314 @Preetha @ShadowLegendX @sleepyjess @sleepyhead314 @TheSmartOne @MxuesFire @PRAETORIAN.10

Answer 2

@Nnesha @Luigi0210 @pooja195 @bohotness @IrishBoy123

Answer 3

Why do you ALWAYS mass tag?

Answer 4

because if i tag a few people some wont respond

Answer 5

@jigglypuff314 any ideas?

Answer 6

Do you know that mass tagging is against the rule?

Answer 7

Sorry... I won't do it again

Answer 8

Thanks for tagging us on Twitter @familyguymath

If I am interpreting this question properly, This is basically a triangular prism.
the Volume of a Prism = (area of the base) * (height)

so first,
Area of the base = (area of the triangle)
can you find the x and y intersects of x + y = 4 ? :)

Answer 9

hint:
x intercept is when y = 0
plug y=0 into the equation and solve for x to get it

Answer 10

x=4

Answer 11

good! and the y intercept?

hint:
y intercept is when x = 0

Answer 12

y=4

Answer 13

so this triangle would have a base of 4 and a height of 4 right?
area of triangle = (1/2)*(base)*(height) = (1/2)*(4)*(4) = ?

Answer 14

a. 8? @jigglypuff314

Answer 15

Sorry for the wait, I've found my mistake.
What math level is this for? Geometry or Calculus? :)

Answer 16

calc

Answer 17

@jigglypuff314

Answer 18

That makes soooo much more sense! OK :D

you know how the rotating thing works right? This is easier!

Volume = integral from 0 to 4 of ("side")^2 dx

side => y = -x + 4

squared because the area of a square is Side^2

Answer 19

?