Cube shaped blocks are packed into a cube shaped storage container the edge length of the storage container is 2 1/2 feet the edge length of each blocks 1/5 the edge length of storage container what is the volume in cubic feet of one cube shaped block

Respuesta :

Answer:

[tex]\frac{1}{8}[/tex] cubic feet

Step-by-step explanation:

The edge length of cubic block is 1/5th of 2 and 1/2. Let's do this:

[tex]\frac{1}{5}*2\frac{1}{2}\\=\frac{1}{5}*\frac{5}{2}\\=\frac{1}{2}[/tex]

So the edge length of cubic block = 1/2 feet.

The volume of cube is given by  V = x^3, where x is the edge length. We know edge length is 1/2, so we have:

[tex]V=x^3\\V=(\frac{1}{2})^3\\V=\frac{1}{8}[/tex]