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.

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1 answer

To solve for the area, height, volume, and price per cubic inch of the cereal box, let's define each one step by step.

  1. Area of the Top of the Cereal Box: If the shape of the top of the cereal box is rectangular, we need to know the dimensions. For example, if the top is a rectangle with a length (L) and width (W), the area (A) can be calculated as: \[ A = L \times W \] If the dimensions are given, please provide them for accurate calculations.

  2. Height of the Cereal Box: If the height is provided in the description of the box, please indicate it. Otherwise, for any volume or surface area calculations to work, we'd need this measurement.

  3. Volume of the Cereal Box: The volume (V) of a rectangular box can be calculated using the formula: \[ V = L \times W \times H \] Where \( H \) is the height of the box. Once you provide dimensions, we can compute the volume.

  4. Price per Cubic Inch: To find the price per cubic inch, once we have calculated the volume, we can use the formula: \[ \text{Price per cubic inch} = \frac{\text{Cost of the cereal}}{\text{Volume}} \] Given that the cost of the cereal is $6.28, we plug in the volume value we determine after calculating.

Once you provide the missing dimensions (length, width, height), I can help calculate the exact numbers for each of these quantities.