For this case we have that by definition, the volume of a cuboid is given by:
[tex]V = L * A * h[/tex]
Where:
L: It's the long
A: It is the width
h: It is the height
According to the problem data we have:
[tex]L = 2x ^ 2y \ cm\\A = 5y ^ 2z \ cm\\h = 4z ^ 2x \ cm[/tex]
So, the volume of the cuboid is:
[tex]V = (2x ^ 2y) (5y ^ 2z) (4z ^ 2x)\\V = 10x ^ 2y ^ 3z (4z ^ 2x)\\V = 40x ^ 3y ^ 3z ^ 3[/tex]
Finally, the volume of the cuboid is: [tex]V = 40x ^ 3y ^ 3z ^ 3[/tex]
Answer:
[tex]V = 40x ^ 3y ^ 3z ^ 3[/tex]
