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

Sagot :

Answer:

7 ft

Step-by-step explanation:

7 x 7 x 7 = 343

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}} }: [/tex]

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

✧ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F \: I\:N\: D}}}} : [/tex]

  • Length of each side of the container [ l ]

✧ [tex] \underline{ \underline{ \large{ \tt{ S \: O \: L \: U \: T \: I\: O \: N}}} }: [/tex]

☪ [tex] \boxed{ \large{ \text{Volume \: of \: a \: cube }= \sf {l}^{3} }}[/tex]

⇾[tex] \large{ \sf{343 = {l}^{ 3}}} [/tex]

⇾[tex] \large{ \sf{ {l}^{ 3} = 343}}[/tex]

⇾[tex] \large{ \sf{l = \sqrt[3]{343} }}[/tex]

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

⇾[tex] \large{ \sf{l = \boxed{ \sf{7 \: ft}}}}[/tex]

[tex] \huge{ \boxed{ \boxed{ \large{ \text{OUR \: FINAL \:ANSWER }: \boxed{ \underline{ \bold{ \sf{7 \: ft}}}}}}}}[/tex]

⭒Hope I helped ! ⭒

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