Mathematics College

Meg is packing a shipping conditier.

There is one section of the shipping container that has not yet been packed. The space available is in the shape of rectangular

prism that measures 2 feet by 3 feet by 33 feet.

She will pack as many boxes into the available space as possible. Each box is in the shape of a cube with side length 1 foot.

The space available in the shinning container and one of the boxes are shown below.

Answers

Answer 1

Answer:

[tex]Boxes= 198[/tex]

Step-by-step explanation:

This question has uncleared details towards the end. However, one can deduce that we need to calculate the amount of box the available space can contain.

We have the following given parameters.

Shipping Container

[tex]Dimension: 2ft\ by\ 3ft\ by\ 33ft[/tex]

The box

[tex]Dimension: 1ft\ by\ 1ft\ by\ 1ft[/tex]

First, we calculate the volume of the shipping container.

[tex]V_A = 2ft * 3ft * 33ft[/tex]

[tex]V_A = 198ft^3[/tex]

Next, we calculate the volume of the box.

[tex]V_B = 1ft * 1ft * 1ft[/tex]

[tex]V_B = 1ft^3[/tex]

The number of box is then calculated as:

[tex]Boxes= \frac{V_A}{V_B}[/tex]

[tex]Boxes= \frac{198ft^3}{1ft^3}[/tex]

[tex]Boxes= \frac{198}{1}[/tex]

[tex]Boxes= 198[/tex]

Hence:

198 boxes will occupy the empty space

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