Question

the length , breadth and height of a cuboid is 2x^2y cm,5y^2z cm and 4z^2x cm. The volume of the cuboid is ...............

Answer 1

For this case we have that by definition, the volume of a cuboid is given by:

`V = L * A * h`

Where:

L: It's the long

A: It is the width

h: It is the height

According to the problem data we have:

`L = 2x ^ 2y \ cm\\A = 5y ^ 2z \ cm\\h = 4z ^ 2x \ cm`

So, the volume of the cuboid is:

`V = (2x ^ 2y) (5y ^ 2z) (4z ^ 2x)\\V = 10x ^ 2y ^ 3z (4z ^ 2x)\\V = 40x ^ 3y ^ 3z ^ 3`

Finally, the volume of the cuboid is:
`V = 40x ^ 3y ^ 3z ^ 3`

Answer:

`V = 40x ^ 3y ^ 3z ^ 3`