Question

An art exhibit at a local museum features several similarly shaped metal cubes welded together to make a sculpture. The smallest cube has an edge length of 6 inches. If the artist wanted to add a smaller cube with an edge length with a ratio of 2/3 to the sculpture, what size would the cube be?

A) 4 inches
B) 6 inches
C) 8 inches
D) 9 inches
E) 12 inches

Answer 1

To find the edge length of the smaller cube with a ratio of 2/3 to the original 6-inch cube, multiply 6 inches by 2/3, resulting in an edge length of 4 inches.

Step-by-step explanation:

The student is asking about the size of a cube's edge when it is scaled down by a specific ratio compared to another cube's edge length. In this case, the original cube has an edge length of 6 inches, and the artist wants to add a smaller cube with an edge length of a 2/3 ratio to this size. To find the size of the smaller cube's edge, multiply the original edge length by the rati
6 inches × (2/3) = 4 inches.

So the edge length of the smaller cube would be 4 inches, which corresponds to option A.