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castortr0y [4]
3 years ago
13

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 ...............

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

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

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