Question

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 block is 1/5 the edge length of the storage container.
What is the volume of, in cubic feet, one shaped-cube block?

Answer 1

The volume of one shaped-cube block is
`(1)/(8)\ ft^(3)`

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(1)/(2)\ ft=(2*2+1)/(2)=(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=(1)/(8)\ ft^(3)`