<PRE><B>Question 740657</B>
The problem states that the ratio of surface areas of two similar cubes is 25:64. Find the volume of the larger cube if the volume of the smaller cube is 1000in^3.

The suface area of a cube is 6a*2, where a is the length of a side.  Then,

25/64 = 6a^2 / 6b^2  and the ratio reduces to 5/8 = a/b

The volume of a cube is a^3  where a is the length of a side

For the smaller cube, we have

1000 = a^3  and a = 10

From our ratio we have 5/8 = 10/b and

5b = 80 and b = 16

16^3 = 4096 cubic inches which is the volume of the larger cube

therefore C is the correct choice </PRE>