Question

Moses is creating a large cube sculpture for a city park. He first makes a smaller cube to use as a rough model of his sculpture. The edge lengths of the model are each 25 in. The edge lengths of the sculpture will be 3 times the model's edge lengths. How many times as large is the volume of the sculpture than the volume of the model? Show your work.​

Answer 1

From the calculations, the volume of the sculpture is 27 times the volume of the model.

Volume of a cube

The volume of a cube is obtained using the formula;

Volume = l^3

Where l is the length of each edge. We should note that the lengths of all the edges in a cube are equal.

Hence,

volume of the model = (25)^3 = 15625 in^3

volume of the sculpture = (3 * 25)^3 = 421875  in^3

Ratio of the volume of the sculpture to the volume of the model = 421875  in^3/15625 in^3

= 27:1

Hence, the volume of the sculpture is 27 times the volume of the model.

Learn more about volume: https://brainly.com/question/12908738