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Look at this cube:

4 yd
4 yd
4 yd


If the side lengths are quadrupled, then which of the following statements about its volume will be true?



Questions

Respuesta :

morninglover

Answer:

Comparing the volumes:

The original cube had a volume of 64 cubic yards.

The enlarged cube has a volume of 4096 cubic yards.

Therefore, the statement that will be true when the side lengths are quadrupled is:

The volume of the cube increases by a factor of 64.

Step-by-step explanation:

dionissenjo16

Answer:

Volume multiplied by 64: Volume = 4096 yd^3

Step-by-step explanation:

When a side of a 1D object is quadrupled, It increases by x4^1 = 4 times.

When a side of a 2D object is quadrupled, Its area increases by x4^2 = 16 times.

When a side of a 3D object is quadrupled, Its volume increases by x4^3 = 64 times.

The volume of the cube will be multiplied by 64, and it will be:

4x4x4x64

4x4x256

4x1024

4096

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