Question

Claire is using the little wooden cubes of Edgeland 1/2 inch to build a larger cube that has Edgelake 4 inches how many cues does she need explain your reasoning

Answer 1

Number of cubes used = 512

Explanation:

Here we have to find the number of small cubes used in building the larger cube. Since the larger cube is entirely filled up , we can equate the volume of larger cube and the sum of volumes of all the smaller cubes used.

Volume of a cube =
`(side length)^(3)`

Volume of large cube =
`4^(3)` = 64
`in^(3)`

Volume of 1 small cube =
`(0.5)^(3)` = 0.125
`in^(3)`

Number of cubes used =
`(Volume of large cube)/(Volume of small cube)`

Number of cubes used =
`(64)/(0.125)`

Number of cubes used = 512