Question

Find the volume of the solid bounded by the planes x = 0, y = 0, z = 0, and x + y + z = 8

Answer 1

***** sketch power in math *****

If we sketch the shape of the solid, it is a corner of a cube of side length 8.
Hence the volume is one-sixth of a cube,
Volume = 8^3/6=256/3=85.333...

Or it is a pyramid with triangular base with two faces perpendicular to the base,
area of base = 8^2/2=32, height=8, so
volume = Ab*h/3=32*8/3=256/3=85.333... as before