Question

Cube-Shaped blocks are packed into a cube-shaped storage container.

Answer 1

Answer:

The volume of one shaped-cube block is $\frac{1}{8}\ ft^{3}$

Step-by-step explanation:

we know that

The volume of a cube is equal to

$V=b^{3}$

where

b is the length side of the cube

step 1

Find the length side of one shaped-cube block

Let

x------> the length side of one shaped-cube block

y-----> the length side of the storage container

$x=y/5$ -----> equation A

we have

$y=2\frac{1}{2}\ ft=\frac{2*2+1}{2}=\frac{5}{2}\ ft$ ---> convert to an improper fraction

substitute in the equation A

$x=(5/2)/5=1/2\ ft$

step 2

Find the volume of one shaped-cube block

$V=(1/2)^{3}$

$V=\frac{1}{8}\ ft^{3}$