If all the dimensions of a cube are multiplied by five, the surface area of the cube will change by a factor of ten. TrueFalse P

Question

alexandr402 [8]

2 years ago

9

If all the dimensions of a cube are multiplied by five, the surface area of the cube will change by a factor of ten. TrueFalse P

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Mathematics

1 answer:

VikaD [51] · Answer 1 · 2022-06-02T23:27:40+03:00

Answer:

False (see explanation)

Step-by-step explanation:

Let say that the edge length of a cube is x. The surface area is $x^2 * 6$ ,. Now if we take five times the x (5x) we get that the surface area is $(5x)^2 *6$ . We see that indeed, the surface are changes not by a factor of ten but 5. But then again, if you really mean <em>factor</em> of 10. Then it will be True, as 10 is divisible by 5. There you need to decide for yourself :)