Answered



The volume of a cube is 512 cm3.




What would change if the volume of the cube were measured in cubic meters?









A

The volume of the prism would decrease.







B

The volume of the prism would increase.







C

The number of cubic units would increase.







D

The number of cubic units would decrease

Verified Answer :

SchwarzschildRadius

Well,

\(512 cm^{3}\ converted\ to\ m^{3} = 5.12m^{3}\)

The actual volume of the cube does not increase, but the number of cubic units decreases.  In fact, the number of cubic units decreases by a factor of 100, as the centimeter-to-meter relationship is 100-to-1.

Answer:

D.  The number of cubic units would decrease

Step-by-step explanation:

We are given that,

Volume of a cube = 512 cm³

Since, 1 meter = 100 centimeter

i.e 100 centimeter = 1 meter

Then, 512 centimeter = \(\frac{1}{100}\times 512\) = 5.12 m³

Thus, we have that,

The volume of the cube measured in cubic meters is 5.12 m³.

Thus, we get that,

There is no change in the volume of the prism but the number of the cubic units decreases by a factor of 100.

Hence, option D is correct.

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