Mathematics: The volume of a cube-shaped container is 343 ft3. What is the length of each side of the container in feet?

The volume of a cube-shaped container is 343 ft3.

daemonacoster

02.04.2021

Step-by-step explanation:

✧ $\underline{ \underline{ \large{ \tt{g \: i \: v \: e \: n}}} }:$

Volume of a cube - shaped container [ V ] = 343 ft ³

✧ $\underline{ \underline{ \large{ \tt{t \: o \: \: f \: i \: n \: d}}}} :$

Length of each side of the container [ l ]

✧ $\underline{ \underline{ \large{ \tt{ s \: o \: l \: u \: t \: i \: o \: n}}} }:$

☪ $\boxed{ \large{ \text{volume \: of \: a \: cube }= \sf {l}^{3} }}$

⇾ $\large{ \sf{343 = {l}^{ 3}}}$

⇾ $\large{ \sf{ {l}^{ 3} = 343}}$

⇾ $\large{ \sf{l = \sqrt[3]{343} }}$

⇾ $\large{ \sf{l = \sqrt[3]{7 \times 7 \times 7}}}$

⇾ $\large{ \sf{l = \boxed{ \sf{7 \: ft}}}}$

☥ $\huge{ \boxed{ \boxed{ \large{ \text{our \: final \: answer }: \boxed{ \underline{ \bold{ \sf{7 \: ft}}}}}}}}$

⭒Hope I helped ! ⭒

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