Question

Answer each question and show your work.

A). How many cubes with an edge length of 1/6 inch are needed to build a cube with an edge length of 1 inch?
B). What is the volume, in cubic inches, of one cube with an edge length of 1/6 inch?

Answer 1

• See below

Explanation:

A)

Each edge of the greater cube has:

• 1 : 1/6 = 6 times the small cube

Number of small cubes:

• 6³ = 216 small cubes

B)

The volume of the bigger cube is 1 in³

The volume of each small cube is:

• 1 : 216 =
• 1/216 in³