karina was comparing the volume of a 20-inch cube to the volume of a 10-inch cube. how many times greater is the volume of the larger cube?

Question

find the volume

Answer 1

The ratio of the volumes of two similar solids is as the cube the the scale factor.

Here the scale factor is 2. The larger cube has 8 times the volume.

 

The long way;

Small cube 10³ or 1000

Big cube 20³ or 8000

Answer 2

Hi Amy, the volume of a cube is: V = s³.

 

The volume of a cube with a side of 20 inches is: V = 20³, or 8000 cubic inches.

 

The volume of a cube with a side of 10 inches is: V = 10³, or 1000 cubic inches.

 

Comparing the volume of the 20 inch cube to the 10 inch cube, the 20 inch cube is 8 times larger than the 10 inch cube.

 

Another way to look at the problem is to compare the two cubes. The 10 inch cube is doubled in length, doubled in width, and doubled in height to make it the size of the 20 inch cube, or we multiply the volume of the 10 inch cube by 2 * 2 * 2, which is 8.

 

Questions?