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



Answer :

SchwarzschildRadius
Well,

[tex]512 cm^{3}\ converted\ to\ m^{3} = 5.12m^{3} [/tex]

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 = [tex]\frac{1}{100}\times 512[/tex] = 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.