A chest shaped as a rectangular prism can hold 576 wooden cube blocks with edge lengths of 1/4 ft.

What is the volume of the chest?

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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