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melisa1 [442]
2 years ago
11

a cube with a volume of 64 cubic meters is scaled by a factor of 5, what is the volume of this modified cube in cubic meters?

Mathematics
2 answers:
mixer [17]2 years ago
8 0

Answer :

8,000

Step-by-step explanation:

When the sides of the cube are scaled by a factor of k, the volume increases by a factor of k3. Here, the new volume is 64 cubic meters × 53 = 8,000 cubic meters.

IceJOKER [234]2 years ago
4 0

Answer:

8000 m^3.

Step-by-step explanation:

Volume of cube: 64 m^3

Let's say x is the sides of cube.

Volume: x^3= 64

Length is scaled up by a factor of 5.

Side of the cube will be 5x.

New volume would be: (5x)^3 = 125 x 64 = 8000 m^3

Hope this helps & good luck.

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