Question

1. maria is packing dvds into a shipping box. explain how many dvds will fit in one shipping box.

Explanation:

Analyze the packing arrangement

The image shows a larger shipping box being filled with smaller rectangular items representing DVDs.
Let's count how many DVDs fit along each dimension of the shipping box based on the visual representation:

• Along the width (front-to-back), we can count the individual DVD spines. There are 6 DVDs packed side-by-side.
• Along the height (vertical), we can see the stacked layers of DVDs. There are 5 layers of DVDs stacked vertically.
• Along the length (left-to-right), the stack of DVDs occupies exactly half of the shipping box's length. This means another identical stack of DVDs can fit in the remaining empty space. Thus, 2 stacks fit along the length.

Calculate the total number of DVDs

We calculate the total capacity of the shipping box by multiplying the number of DVDs that fit along each dimension:

• Number of DVDs in one stack:

$$ 6 \text{ (width)} \times 5 \text{ (height)} = 30 \text{ DVDs} $$

• Since 2 stacks fit along the length of the box:

$$ 30 \text{ DVDs/stack} \times 2 \text{ stacks} = 60 \text{ DVDs} $$

Answer:

To find how many DVDs fit in the shipping box, we analyze the dimensions of the box in terms of DVDs:

1. Width: There are 6 DVDs packed side-by-side.
2. Height: There are 5 layers of DVDs stacked vertically, making 30 DVDs in one complete stack (\(6 \times 5 = 30\)).
3. Length: The stack of 30 DVDs fills exactly half of the box's length, meaning 2 such stacks can fit in total.

Multiplying these dimensions together:

$$ 6 \text{ DVDs wide} \times 5 \text{ DVDs high} \times 2 \text{ stacks long} = 60 \text{ DVDs} $$

A total of 60 DVDs will fit in one shipping box.