Question

Each of the small cubes in this larger cube has edges that are yd long.

What is the volume of the larger cube? Show your work.

Answer 1

`(1)/(8)\mathrm{yd^3}`

Explanation:

the length of one side/edge of the smaller cubes is equal to
`(1)/(6)`, and we have
`3*3*3=27` of them in total to form the larger cube.

one way to find the volume of the larger cube is to find the length of its edges. here, one edge is formed by three smaller edges.

so, we have edge length as
`\frac16*3=\frac12` and using the volume formula
`V=a^3`, where a is edge length, we have volume as:

`V=(1)/(2)^3=\frac18` cubic yards.