Question

A sculptor needs to enlarge a statue by making each linear dimension 25% greater. If N cm of stone was used to carve the original horse, how many cubic centimeters of stone are needed to make the larger horse?

Answer 1

To find the number of cubic centimeters of stone needed to make the larger horse, you need to multiply the original volume by the cube of the scale factor of 1.25.

Step-by-step explanation:

To find the number of cubic centimeters of stone needed to make the larger horse, we need to consider the scale factor of 25%.

The scale factor represents the ratio of the dimensions of the larger horse to the original horse. Since each linear dimension is made 25% greater, the scale factor would be 1 + 0.25 = 1.25.

To find the volume of the larger horse, we need to multiply the original volume by the cube of the scale factor. So if N cm of stone was used to carve the original horse, the number of cubic centimeters of stone needed to make the larger horse would be N x (1.25)^3.