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Direction: Read the following Caselet DI...

Direction: Read the following Caselet DI carefully and answer the following questions. 3 cubes P, Q, and R are cut from the cubes A, B, and C respectively.
The length of the side of cube P is given by the equation `x^(2)`- 12x + 36 = 0 and the length of the side of cube A is 2 cm more than cube P.
The length of the side of cube Q is given by the equation `y^(2)` + 21y - 46 = 0 and the length of the side of cube B is 3 cm more than cube Q.
The length of the side of cube R is given by the equation `z^(2)` - 10z + 25 = 0 and the length of the side of cube C is 4 cm more than cube R.
Here x, y, and z are in centimeter.
What is ratio of volume of cube A and P together to the volume of cube B and Q together

A

`5:1`

B

`17:3`

C

`11:3`

D

`104 :19`

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