# Homework Help: Is the equation "0 <= x <= 3, 0<= y <= 4, 0 <= z <= 5" for a cuboid?

1. Aug 31, 2014

### Nat3

1. The problem statement, all variables and given/known data
Sketch the following volume and find the area.

2. Relevant equations
0 <= x <= 3, 0<= y <= 4, 0 <= z <= 5

3. The attempt at a solution
The notation is confusing me. Is the equation simply representing a cuboid?

2. Sep 1, 2014

### haruspex

If that's all the info you are given, yes.

3. Sep 1, 2014

### HallsofIvy

That's not "an equation", it's three different inequalities. The first, $0\le x\le 3$ means all points (x, y, z) such that the component, x, is between 0 and 3. That region is bounded by the two planes x= 0 and x= 3.
Similarly $0\le y\le 4$ defines a region bounded by the planes y= 0 and y= 4. Finally, $0\le z\le 5$ defines the region bounded by the planes z= 0 and z= 5. Those 6 planes form the 6 sides of a rectangular solid or cuboid.