Respuesta :
The answer is 9 you have to multiply 1/4 three times which gives you 1/64 then you take 576 and multiply it by 1/64 which gives you 9. Hope this helps.
Answer: 9 cubic feet
Step-by-step explanation:
Given: A chest shaped as a rectangular prism can hold 576 wooden cube blocks with edge lengths of [tex]\frac{1}{4}[/tex] ft.
The volume of cube is given by :_
[tex]V=side^3=(\frac{1}{4})^3=\frac{1}{64}[/tex]cubic feet
Then according to the question,
The volume of the rectangular prism = [tex]576\times V[/tex]
⇒ The volume of the rectangular prism =[tex]576\times \frac{1}{64}[/tex]
⇒ The volume of the rectangular prism =9 cubic feet