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User Aviit
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The volume of the box-shaped a cuboid is


V=l* w* h

l is the length

w is the width

h is the height

From the given figure

The volume of the box is 93 1/2 ft^3

V = 93 1/2

The width is 2 ft

w = 2

The height is 5 1/2 ft

h = 5 1/2

Substitute them in the rule above


\begin{gathered} 93(1)/(2)=l*2*5(1)/(2) \\ (93*2+1)/(2)=l*2*(5*2+1)/(2) \\ (187)/(2)=l*2*(11)/(2) \\ (187)/(2)=l*11 \end{gathered}

Multiply both sides by 2 to remove the denominator


187=22l

Divide both sides by 22 to find l


\begin{gathered} (187)/(22)=(22l)/(22) \\ 8(1)/(2)=l \end{gathered}

The length of the box is 8 1/2 ft

The answer is B

User Sari Alalem
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