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Question
the volume of a cube can be found using the equation v = s³, where v is the volume and s is the measure of one side of the cube. match the equation for how to solve for the side length of a cube to its description. a cube has a volume of 2560 in³. drag the equation to the box to match the description. s = √2560 in. s = ∛2560 in. s = √2560³ in. s = ∛2560³ in.
Step1: Recall volume formula
The volume formula of a cube is $V = s^{3}$, where $V$ is volume and $s$ is side - length.
Step2: Solve for s
Given $V = 2560$ in³, we need to solve $2560=s^{3}$ for $s$. By taking the cube - root of both sides, we get $s=\sqrt[3]{2560}$ in.
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$s=\sqrt[3]{2560}$ in