Question

Ellen sells mugs that are in boxes in the shape of a cube. The edges of the boxes have a length of 1 foot. Ellen can completely fill a container in the shape of a rectangular prism with 378 boxes. What is the volume of her container? 471 ft 3 189 ft3 942 ft Ht 2 378 ft?

Answer 1

The side of the cubical box is 1/2 foot, so its volume is given by,

`\begin{gathered} \text{Volume of cubical box=(side)}^3 \\ \text{Volume of cubical box=(}(1)/(2)\text{)}^3 \\ \text{Volume of cubical box=}(1)/(8) \\ \text{Volume of cubical box=0}.125 \end{gathered}`

Given that the container can be filled with 378 boxes.

So the volume of the container is given by,

`\begin{gathered} \text{Volume of Container=378}*\text{ Volume of a single box} \\ \text{Volume of Container=378}*\text{ 0}.125 \\ \text{ Volume of Container}=47.25 \\ \text{Volume of Container}=47(1)/(4) \end{gathered}`

Thus, first option is the correct choice.