A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation 2x2 + 8x2 = 450 can be used to find x. What was the side length of the original cube?

Let the length of side of cube=x

One side length is increased by 4cm, so the length will be x+4

Another side will be doubled, so new length will be 2x

And the thIrd side will be same as it is.

So the volume of new rectangular prism will be=

x * (x+4) * 2x=450

i. e 2x³+8x²=450

dividing 2 on both sides we will get,

x³+4x²=225

i. e x=5

So original length of cube is 5inch (Answer)

Answer: B. 5.

Step-by-step explanation:

It's the right answer