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stephen needs to place several cubic packages in a shipping box that measures 12 inches by 18 inches by 24 inches.

stephen needs to place several cubic packages in a shipping box that measures 12 inches-example-1

1 Answer

1 vote

Answer:

648cubes

Explanations

The formula for calculating the volume of a box is expressed as


V=lwh

where;

l is the length

w is the width

h is the height

Find the volume of the shipping box


\begin{gathered} V=12in*18in*24in \\ V=5184in^3 \end{gathered}

Determine the dimension of the cubic package


\begin{gathered} V_c=2in*2in*2in \\ V_c=8in^3 \end{gathered}

Determine the number of cubes that can fit in the shipping box.


\begin{gathered} number\text{ of cubes}=(5184in^3)/(8in^3) \\ number\text{ of cubes}=648cubes \end{gathered}

Therefore the maximum number of cubes that can fit into the box is 648cubes

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