Question

Clare is using little wooden cubes with edge length inch to build a larger cube that has edge length 4 inches. How many little cubes does she need?

Answer 1

Total of 64 cubes are needed.

Explanation:

The dimensions of smaller cube are edge length of 1 inch.

The dimensions of the formed larger cube is edge length of 4 inches.

The volume of cube is found by,

`V = (s)^(3)`, where s is the edge length of cube.

The volume of small cubes is,

v1 =
`1^(3) = 1 inch^(3)`

The volume of bigger cube is,

v2 =
`4^(3) = 64 inch^(3)`

Let the number of cubes needed be "n".

The total volume formed is equal to n times volume of individual cube.

`64 = (n)(1)`

Thus, n = 64.