Question

Consider the cereal box below.



(4 points)
Determine the area of the top of the cereal box.
square inches.

Determine the height of the cereal box.
inches

Determine the volume of the cereal box.
cubic inches. Use the formula chart below.

If the cost of the cereal is $6.28, determine the price per cubic inches. $
per cubic inch. Round your answer to the nearest hundredth place.

Answer 1

To determine the area of the top of the cereal box, the height, the volume, and the price per cubic inch, we need the dimensions of the cereal box, which are not provided in your question.

**Let's assume some dimensions to solve the questions:**

Assume a cereal box has the following dimensions:
- Length = 6 inches
- Width = 4 inches
- Height = 10 inches

Now we can perform the calculations.

1. **Area of the top of the cereal box:**
\[
\text{Area} = \text{Length} \times \text{Width} = 6 \, \text{inches} \times 4 \, \text{inches} = 24 \, \text{square inches}
\]

2. **Height of the cereal box:**
The height is given as 10 inches.

3. **Volume of the cereal box:**
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height} = 6 \, \text{inches} \times 4 \, \text{inches} \times 10 \, \text{inches} = 240 \, \text{cubic inches}
\]

4. **Price per cubic inch:**
First, determine the price per cubic inch using the total cost of the cereal:
\[
\text{Price per cubic inch} = \frac{\text{Total Cost}}{\text{Volume}} = \frac{6.28}{240}
\]
\[
\text{Price per cubic inch} \approx 0.02617
\]
Rounding this to the nearest hundredth gives:
\[
\text{Price per cubic inch} \approx 0.03 \, \text{dollars}
\]

**Final Answers:**
- Area of the top: **24 square inches**
- Height of the cereal box: **10 inches**
- Volume of the cereal box: **240 cubic inches**
- Price per cubic inch: **$0.03 per cubic inch**

If you have specific dimensions for the cereal box, please provide them, and I can recalculate the answers based on those values!