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Solve the word problems. 2.1) Find the volume of a cereal box that measures 20.5 inches high, 8 inches long and 3.25 inches wide. Area of base

Ask by Bradley Guzman. in the United States
Dec 17,2024

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The volume of the cereal box is 533 cubic inches.

Solución

To find the volume of a cereal box, we can use the formula for the volume of a rectangular prism, which is given by: \[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \] Given: - Height = 20.5 inches - Length = 8 inches - Width = 3.25 inches Substitute the given values into the formula to find the volume of the cereal box. Calculate the value by following steps: - step0: Calculate: \(8\times 3.25\times 20.5\) - step1: Multiply the terms: \(26\times 20.5\) - step2: Multiply the numbers: \(533\) The volume of the cereal box is 533 cubic inches.

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The Deep Dive

To find the volume of the cereal box, you use the formula for volume, which is length × width × height. So, for your cereal box, the calculation would be as follows: Volume = 20.5 inches (height) × 8 inches (length) × 3.25 inches (width) = 534.0 cubic inches. The area of the base (which is a rectangle) is found by multiplying the length and width: Area of base = 8 inches × 3.25 inches = 26.0 square inches. Now you have not only the volume but also the area of the base! Yummy crunchy math! Additionally, knowing the volume can be a fun way for consumers to estimate how much cereal they can expect inside the box versus how much they'll actually get, since smaller boxes can be deceiving. It’s a solid reminder to check labels! Moreover, if you’re getting into the cereal game, think about how these measurements can vary by manufacturer! Some brands might have taller boxes with less cereal, while others might go for wider boxes to project a sense of abundance. It’s always good to be a savvy consumer!

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