Question

he can fit two bars of soap side by side on the bottom of this box. dave can make two more layers like the one shown to fill the box. how many bars of soap will fill the box? 2x3 = 6 cubic units 6 will fill the box

Explanation:

Step1: Determine volume of one - layer

The base of the box has dimensions such that if we assume the number of soap bars in the length and width of the base are factors of the base - area. From the given information, if we consider the base - layer of the box, and assume the soap bars are arranged in a rectangular pattern. If the base - layer has an area that can be filled with a certain number of soap bars. Let's assume the base - layer has a length and width such that the number of soap bars in the base - layer is found by multiplying the number of soap bars along the length and width. Here, if we assume the base - layer has 2 soap bars along one side and 3 soap bars along the other side of the base, the number of soap bars in one layer is \(2\times3 = 6\).

Step2: Determine number of layers

Dave can make two more layers on top of the bottom - layer. So the total number of layers is \(1 + 2=3\).

Step3: Calculate total number of soap bars

To find the total number of soap bars to fill the box, we multiply the number of soap bars in one layer by the total number of layers. The number of soap bars in one layer is 6, and the number of layers is 3. So the total number of soap bars is \(6\times3=18\).

Answer:

18