To solve the questions about the cereal box, we'll need some dimensions of the box. Typically, the top of a cereal box is rectangular. Let's assume the dimensions of the box are as follows (you can adjust these numbers according to your actual cereal box dimensions):
- Assumed dimensions of the cereal box:
- Length of the top = 12 inches
- Width of the top = 8 inches
- Height of the box = 10 inches
Based on these dimensions, we can calculate the area, volume, and price per cubic inch.
Step 1: Determine the area of the top of the cereal box.
- Area = Length × Width
- Area = 12 inches × 8 inches = 96 square inches
Area of the top of the cereal box: 96 square inches
Step 2: Determine the height of the cereal box.
- Height = 10 inches (from our assumed dimensions)
Height of the cereal box: 10 inches
Step 3: Determine the volume of the cereal box.
- Volume = Length × Width × Height
- Volume = 12 inches × 8 inches × 10 inches = 960 cubic inches
Volume of the cereal box: 960 cubic inches
Step 4: Determine the price per cubic inch.
- Cost of the cereal = $6.28
- Price per cubic inch = Cost / Volume
- Price per cubic inch = $6.28 / 960 cubic inches = $0.00654166667
To round this to the nearest hundredth place:
- Price per cubic inch = $0.01 (when rounded)
Price per cubic inch: $0.01
Summary:
- Area of the top: 96 square inches
- Height: 10 inches
- Volume: 960 cubic inches
- Price per cubic inch: $0.01
Make sure to check the dimensions of your specific cereal box to replace the assumed values if needed for accurate calculations.