Answer:
Part A: 84 boxes
Part B: Explained below
Part C: 2 layers of boxes high
6 boxes width per layer
7 boxes length per layer
Explanation:
Part A:
In terms of height, we can see that there are 3 boxes
In terms of width, we can see that there are 4 boxes.
In terms of length, we can see that there are 7 boxes.
Thus, number of boxes = 3 × 4 × 7 = 84 boxes
Part B:
What I've just done in part A is same as V = l × w × h
Thus is because if we take one strip vertically, we will see just height and length.. But since they are stacked and of same size, we will just multiply by the number of rows that make up the width to get the total number of boxes that form the prsim.
Part C:
Since he wants it to be 2 layers high, we can only put 1 box on another one.
Now, he wants the width to be less than 14 inches,which means that there should be less than 14/2 = 7 boxes. So let's adopt 6 boxes along the width.
He wants the length to be less than 30 inches. This means that the length should be less than 30/2 = 15 boxes
Since we know that the height has 2 layers, it means number of boxes along the width and length = 84/2 = 42 boxes
Let's find multiples of 42 and they are;
1, 2, 6, 7, 21, 42.
Looking at these multiples, the most appropriate to use will be 6 and 7.
Thus,he can use 6 boxes as width per layer and 7 boxes as length per layer
Thus, he will stack the boxes as follows;
2 layers of boxes high
6 boxes width per layer
7 boxes length per layer