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I WILL GIVE THE BRAINLIEST TO THE FIRST ANSWER

Grant is replacing his aquarium. His old aquarium was in the shape of a rectangular prism with a volume of 5,184 cubic inches.
The new aquarium is also a rectangular prism with a length, width, and height that are each times as long as the corresponding dimension of his old aquarium. Grant concludes the two aquariums are geometrically similar figures.

Which statement is true?

A.
The two aquariums are similar, and the volume of the new aquarium is 3,000 cubic inches.
B.
The two aquariums are similar, and the volume of the new aquarium is 4,320 cubic inches.
C.
The two aquariums are not similar, and the volume of the new aquarium is 3,000 cubic inches.
D.
The two aquariums are not similar, and the volume of the new aquarium is 4,320 cubic inches.

Respuesta :

temdan2001

Answer: D

The two aquariums are not similar, and the volume of the new aquarium is 4,320 cubic inches.

Step-by-step explanation:

If the two aquarium are similar, then, there should be a scale factor for their similarity. Since their is no scale factor fit for their similarity, we conclude that they are not similar.

Also, the volume of the old aquarium is 5,184 cubic inches. This shows that non of it parameters ( length, width and height ) is neither in multiple of 5 nor multiple of 10. It is therefore not possible for the new aquarium to be 3000 cubic inches since the new aquarium is with a length, width, and height that are each times as long as the corresponding dimension of his old aquarium. Base on these fact above, we can then conclude that

The two aquariums are not similar, and the volume of the new aquarium is 4,320 cubic inches.

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