Question

Clare is using little wooden cubes with edge length 1/2 inch to build a larger cube that has edge length 4 inches. How many little cubes does she need? explain your reasoning​

Answer 1

Answer:

Clare needs 512 little wooden cubes.

Step-by-step explanation:

In order to find out how many of the little wooden cubes we need to build the larger cube, we need to divide the volume of the larger cube by the volume of the smaller cube.

The volume of the smaller cube is:

$V_s=(0.5inch)^3=0.125\:cubic\:inches.$

And the volume of the the larger cube is:

$V_l=(4inches)^3=64\:cubic\:\:inches.$

Thus the number of smaller cubes we need to build the larger cube is

$N=\frac{V_l}{V_s} =\frac{64in^3}{0.125in^3} =512.$

So we need 512 cubes.