QUESTION IMAGE
Question
the value v represents the volume, in cubic inches, of a cube. which of the following would be the best to use to calculate the length of a side, in inches, of the cube?
reference sheet
a = πr²
c = 2πr
a = lw
a = 1/2bh
c² = a² + b²
special right triangles
v = lwh
v = πr²h
v = 4/3πr³
v = 1/3πr²h
v = 1/3lwh
the number of degrees of arc in a circle is 360.
the number of radians of arc in a circle is 2π.
the sum of the measures in degrees of the angles of a triangle is 180.
v/3
√v
∛v
v³
Step1: Recall volume formula of cube
The volume formula of a cube is $V = s^3$, where $s$ is the side - length of the cube.
Step2: Solve for $s$
To find $s$, we take the cube - root of both sides of the equation $V = s^3$. So, $s=\sqrt[3]{V}$.
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$\sqrt[3]{V}$ (the third option)