Question

to solve:

1. figure out how tall the stack of cards is.

□ inch(es).
v = lwh
32 = (8)(4)h
solve for h
h = number1 inches

1. how tall is the box? □ inches

1. using the information from questions 1 and 2, write the appropriate fraction \\(\frac{height\\ of\\ stack\\ of\\ cards}{height\\ of\\ box}\\) and then turn that fraction into a percent. type percent below.

Explanation:

Step1: Calculate stack height

Start with given volume equation:
$$32 = (8)(4)h$$
Simplify the right-hand side:
$$32 = 32h$$
Solve for $h$ by dividing both sides by 32:
$$h = \frac{32}{32} = 1$$

Step2: Identify box height

From the diagram, the box height is labeled as 4 inches.

Step3: Compute fraction and percent

First, write the fraction of stack height to box height:
$$\frac{\text{height of stack of cards}}{\text{height of box}} = \frac{1}{4}$$
Convert the fraction to a percent by multiplying by 100:
$$\frac{1}{4} \times 100 = 25\%$$

Answer:

1. 1 inch(es)
2. 4 inches
3. 25%