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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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Verified Answer :

justlookin2120

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.

JeanaShupp

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 \(\frac{1}{4}\) ft.

The volume of cube is given by :_

\(V=side^3=(\frac{1}{4})^3=\frac{1}{64}\)cubic feet

Then according to the question,

The volume of the rectangular prism = \(576\times V\)

⇒ The volume of the rectangular prism =\(576\times \frac{1}{64}\)

⇒ The volume of the rectangular prism =9 cubic feet

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